what is the remainder when you divide 2x^3+4x^2 - x +3 by x+2

Answers

Answer 1

Answer: The required remainder is 5.

Step-by-step explanation: We are given to find the remainder when we divide the following cubic polynomial by (x+2 :

3 f(x)=2x^ 3 +4x^ 2 - 6^ 2 -x+

(i)

We have the following theorem:

Remainder theorem: If a polynomial p(x) is divided by the factor (x-a), then the remainder is p(a).

So, for the given linear factor, we have

x + 2 = 0

Rightarrow x=-2

Substituting x = - 2 in equation (i), we get

f(- 2)

=2(-2)^ 3 +4(-2)^ 2 -(-2)+3

=-16+16+2+3

=5 .

Thus, the required remainder is 5.


Related Questions

what is difactorization​

Answers

Answer:

do u mean factorization​?

if so, In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization. For example, factorization of the number 12 might look like 3 times 4.

Step-by-step explanation:

Hope this helps!

Answer:  it   an operation of resolving a quantity into factors; also : a product obtained by factorization

 

Step-by-step explanation:  hope i help

factorise fully 6x + 9x cubed

Answers

Answer:

[tex]3375x^3[/tex]

Step-by-step explanation:

→ [tex]\left(6x\:+\:9x\right)^3[/tex]

→ [tex]\left(15x\right)^3[/tex]      [ add the x inside the bracket ]

→ [tex]15^3x^3[/tex]       [ remove the bracket ]

→ [tex]3375x^3[/tex]     [ final answer ]

Answer:

3x(3x² + 2x)

Step-by-step explanation:

6x + 9x³

rearrange tribe

9x³ + 6x

factor by grouping

3(3x³ + 2x)

3x(3x² + 2x)

(3 3/4) divided by (-2 1/2) enter as a mixed number

Answers

Answer:

1 1/2

Step-by-step explanation:                                                                                    15x2/4x-5   =30/-20        =1 1/2                                                                                          First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:                                                                                             Applying the fractions formula for division,                                                                Simplifying 30/-20,                                                                        

Hope this helps if not then ask

PLEASE HELP MEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

1 pound of potato salad costs 2.96

0.75 pounds of potato salad costs x

1/0.75 = 2.96/x            Cross multiply

x = 0.75 * 2.96

x = 2.22  

0.75 pounds of potato salad costs 2.22 dollars.

geometrical prove that a + b x a minus b is equals to a square minus b square​

Answers

Step-by-step explanation:

a² + b²

difference of two square

= (a + b)(a - b)

Answer:

see explanation

Step-by-step explanation:

(a + b)(a - b)

each term in the second factor is multiplied by each term in the first factor, that is

a(a - b) + b(a - b) ← distribute parenthesis

= a² - ab + ab - b² ← collect like terms

= a² - b²

Find the difference.
(9ab-5a+4) - (9ab-2)

Answers

Answer:

-5

Step-by-step explanation:

Answer:

−5a+6

Step-by-step explanation:

hope this is right

Bella has less than 240 minutes to spend assembling furniture each day. Today, she has spent 35.5 minutes assembling a chair. Now she will assemble x desks, each of which takes 45.5 minutes. What is the maximum number of desks that Bella can assemble?

Answers

Using an inequality, it is found that the maximum number of desks that Bella can assemble is of 4.

What is the inequality that represents the situation?

We consider that:

She has already spent 35.5 minutes assembling a chair.Then, she assembles x desks, each of which takes 45.5 minutes.She has less than 240 minutes to spend assembling furniture each day.

Hence:

[tex]35.5 + 45.5x < 240[/tex]

Then, solving the inequality:

[tex]x < \frac{240 - 35.5}{45.5}[/tex]

[tex]x < 4.49[/tex]

Considering the number of desks has to be an integer, maximum number of desks that Bella can assemble is of 4.

More can be learned about inequalities at https://brainly.com/question/25235995

Find the x - and y -intercepts of the graph of the linear equation 3x+6y=24 .

The x -intercept is
.

The y -intercept is
.

Answers

Given :-

A linear equation in two variables , 3x + 6y = 24 .

To Find :-

The x and y intercept of the graph .

Solution :-

Given equation is ,

[tex] 3x + 6y = 24 [/tex]

To find the y intercept set x = 0 , we have ,

[tex] 3(0) +6y = 24 [/tex]

Simplify ,

[tex] 6y = 24[/tex]

Divide both sides by 6 ,

[tex] y = 4 [/tex]

Hence the y intercept is 4 .

[tex]\rule{200}2[/tex]

Now again to find x intercept , set y = 0

[tex] 3x +6(0)= 24[/tex]

Simplify ,

[tex] 3x = 24 [/tex]

Divide both sides by 3 ,

[tex] x = 8 [/tex]

Hence the x intercept is 8 .

How many 20 millions are in 10 billion?

Answers

Answer:

500 times

Step-by-step explanation:

Divide 10,000,000,000 by 20,000,000 to determine how many 20 millions can go into 10 billion.

10,000,000,000 ÷ 20,000,000 = ?

Eliminate 7 zeros:

1,000 ÷ 2 = 500.

20,000,000 can go into 10,000,000 500 times.

Solve this inequality -m<-22

Answers

Answer:

M>22

Step-by-step explanation:

Answer:

[tex]\boxed{\sf{m > 22}}[/tex]

Step-by-step explanation:

To solve this problem, first, you have to isolate it on one side of the equation.

-m<-22

First, divide by -1 from both sides.

[tex]\Longrightarrow: \sf{\dfrac{-m}{-1} < \dfrac{-22}{-1} }[/tex]

Solve.

Divide the numbers from left to right.

⇒ -22/-1=22

[tex]\Longrightarrow: \boxed{\sf{m > 22}}[/tex]

Therefore, the final answer is m>22.

I hope this helps you! Let me know if my answer is wrong or not.

Your Assignment
Is x = 6 a solution to the equation 5(x - 3) = x + 13?

Simplify both sides.

Answers

Answer: It is not the solution, the solution for side one is 15, and the solution for side 2 is 18.

Use the following function rule to find f(0).
f(x)=3^x
f(0)=

Answers

Answer: f(0) = 1.

Explanation: Any time you have a number raised to the power of zero, the answer is one! It’s just a universal truth. I wish I could explain better, but at least it’s an easy thing to remember:)

I need the answer ASAP

Answers

scale factor = 1.25

30 : 24 = 1.25

or

35 : 28 = 1.25

The scale factor of this parallelogram is 5/4

In this question, we need to find the scale factor;

What is Scale Factor?

This is a factor to which a certain unit is multiplied or divided by. In this question, we have to find the scale factor first in order to know the missing side of the parallelogram.

Scale Factor

[tex]\frac{30}{24} = \frac{5}{4}[/tex]

We have check for one side, let us find the other side and compare

[tex]\frac{35}{28}=\frac{5}{4}[/tex]

The scale factor of this parallelogram is 5/4

Learn more about scale factor here;

https://brainly.com/question/10253650

plssss ill give anything. 2 x 3[7 + (6/2)]=

Answers

Please give Brainliest!

Answer:

60

Step-by-step explanation:

Get that A.


Would adding these matrices give a meaningful result in this situation? Why or Why not?
Would subtracting these matrices give a meaningful result in this situation? Why or Why not?

Answers

Yes, adding the matrices would give a meaningful result as it provides a measure of the total number of nutrient and calorie intake throughout the day.

Yes, subtracting the matrix from each other gives a measure of the surplus or deficit of nutrients and calorie intake between any pair of meals.

Matrix addition and Subtraction

A matrix can only be added to (or subtracted from) another matrix if the two matrices are of the same dimensions .

Hence, it follows that to add or subtract two matrices, just add or subtract the corresponding entries, and place this sum or difference in the corresponding position in the matrix which results accordingly.

Read more on matrix addition and subtraction;

https://brainly.com/question/18291235

Solve for x.
A 12
B 1
C 3
D 5

Answers

Answer:

Ans=B.1

Step-by-step explanation:

hope this helps

two friends share this block of chesse equally what fraction dose each child get

Answers

Answer:

1/2  in fraction each kid will get 0.50 in decimal and 50% in percent

Step-by-step explanation:

Find the maturity value of a $473 note issued on October 4 at 8.5% for 190 days.

Answers

The maturity value on the bond is equal to $493.93

Data;

Face value = $473time = 190 daysrate = 8.5%

Maturity Value

This is calculated as the sum of face value and interest.

[tex]M.V = F.V + I[/tex]

Let's solve for the interest on the bond

[tex]I = PRT\\I = 473 * 0.085 * 190/365\\I = 20.93[/tex]

Let's add this up and solve

[tex]M.V = 473 + 20.93\\M.V = 493.93[/tex]

The maturity value on the bond is equal to $493.93

Learn more on maturity value of a bond here;

https://brainly.com/question/2132909

A squere is a perimeter of 16.4 inches. what is the area

Answers

Answer:

16.81

Step-by-step explanation:

P = 4a.

then the length of a side is 16.4 /4 = 4.1.

A = a * a = 4.1 * 4.1 = 16.81

Answer:

45.1 cubic inches

Step-by-step explanation:

16.4 divided by 4 is 4.1 and 4.1 multiplied by 4.1 is 45.1.

The figure above shows that the shaded triangular region with a hypotenuse of 5 cm has been removed from a rectangular tile with dimensions x cm by y cm. Of the following which best approximates the area in square cm of the tile before the piece was removed

Answers

Check the picture below.

Mind you that we have four 30-60-90 triangles.

The area of given rectangle before the piece was removed is 65 cm² approximately.

What is area of rectangle?

The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.

In Δ DEF,

∠EDF + ∠DEF + ∠DFE = 180° (angle sum property)

30° + 90° + ∠DFE = 180°

∠DFE = 60°

[tex]cos F = \frac{EF}{FD}(\frac{base}{hypotenuse}\\ \\ cos(60) = \frac{5}{FD}\\ \\FD = 5 * 2= 10[/tex]

[tex]cos D = \frac{ED}{FD}(\frac{base}{hypotenuse}\\ \\ cos(30) = \frac{ED}{10}\\ \\ED = \frac{\sqrt{3} }{2} * 10= 5\sqrt{3}[/tex]

In Δ AED,

∠AED + ∠EAD + ∠EDA = 180° ( angle sum property)

∠AED + 90° + 30°= 180°

∠AED = 60°

[tex]sinE = \frac{AD}{DE} (\frac{perpendicular}{hypotenuse}\\ \\sin(60) = \frac{AD}{5\sqrt{3} } \\\\AD= \frac{\sqrt{3} }{2}*5\sqrt{3} \\\\AD = 7.5[/tex]

In Δ DFC,

∠FDC + ∠DCF + ∠DFC = 180° (angle sum property)

30° + 90° + ∠DFC = 180°

∠DFC = 60°

[tex]sinF = \frac{DC}{DF} \\\\sin(60) = \frac{DC}{10}\\ \\\frac{\sqrt{3} }{2} *10 = DC\\\\DC = 5\sqrt{3}[/tex]

Area of rectangle = length * breadth = xy = AD * DC = [tex]7.5 * 5\sqrt{3} = 64.95[/tex]

Learn more about area of rectangle here

https://brainly.com/question/20693059

#SPJ3

70 points!!!
Find the domain and range of the following relation also determine whether the relation is a function.

Answers

Domain:-

Venus,Mars, Jupiter,Saturn, Neptune,Pluto

Range:-

18,29,31,27

Yes it's a function as domains have unique range

Answer:

Domain = Planet

Range = number of solar congress reps

Function = YES (many-to-one)

Step-by-step explanation:

Domain : input values ⇒ planet

Range : output value ⇒ number of solar congress reps

Function : A function relates each element of a set with exactly one element of another set (possibly the same set).

One-to-many is not a function.

Many-to-one is a function.

From inspection, we can see that every element in the domain is related to exactly one element in the range.  Both Venus and Neptune are related to 18.  So this is a many-to-one function.

x + 7y = 21
x + 4y = 15
Solve the simultaneous equations

Answers

Answer:

x = 7, y = 2

Explanation:

equations given:

x + 7y = 21

x + 4y = 15

make "x" the subject:

x + 7y = 21

x = 21 - 7y .........equation 1

x + 4y = 15

x = 15 - 4y .......equation 2

Solving both the equations simultaneously:

15 - 4y = 21 - 7y

-4y + 7y = 21 - 15

3y = 6

y = 6 ÷ 3

y = 2

If y is 2

Then x = 21 -7y;

x = 21 - 7(2)

x = 21 - 14

x = 7

x + 7y= 21

7 goes to RHS = X+ y = 21/7-3

x + 4y = 15

4 goes to RHS= x+y = 15/4 = 3.75

zack has a bag containing 15 squares 4 circles 6 triangles and 6 hexagons. If he randomly choose one piece from the bag, what is the probability that he will grab a square or circle?

Answers

Answer:

19/31

Step-by-step explanation:

since there are 15 squares and 4 circles, both is 19

and since the total pieces 31

so the probability that he will grab a square or circle is 19/31

I will give you brainliest :)

Answers

Answer:

listed below.

Step-by-step explanation:

So basically its 420x420 which is 176400 which applies to all of these.

SO insert 1600 into Data Set 1.

For Data set II will be 69x69=4761

That is all you need. STAY SAFE!

pls help this is on prodigy
no link

Answers

Total cards signed:-

[tex]\\ \tt\longmapsto \dfrac{1}{4}+\dfrac{3}{5}[/tex]

[tex]\\ \tt\longmapsto \dfrac{5+12}{20}=\dfrac{17}{20}[/tex]

Cards left:-

[tex]\\ \tt\longmapsto 80-17/20(80)=80-68=12[/tex]

define the concept function and give conditions which make relation a function?​

Answers

Answer:

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

Step-by-step explanation:

NEED BY 11:59 A right triangle is shown. 14 cm 6 cm What is the area, in square centimeters (cm) of the right triangle?​

Answers

Answer:

42 cm squared

Step-by-step explanation:

base times height, divided in half

Each marble bag sold by Carmen's Marble Company contains 3 red marbles for every 2 purple marbles. If a bag has 12 purple marbles, how many red marbles does it contain?​

Answers

Answer:

18

Step-by-step explanation:

a) When x = 6, what is the value of 4x?
10
A
12
B
24
С
46
D
None of these
E
m의
b) When x = 6, what is the value of 5x + x?
36
A
56
B.
62
С
566
D
None of these
E
c) When x = 6, what is the value of x??
3
A
6
B
12
С
36
D
None of these
E

Answers

Answer:

a-24, b-36, c-36

Step-by-step explanation:

a) 4(6)=24

b) 5(6)+6=36

c) (6)^2=36

Answer:

a) c -24

b) a - 36

c) d - 36

Step-by-step explanation:

a) When x = 6, what is the value of 4x?

4x

4(6) = 24

b) When x = 6, what is the value of 5x + x

5x + x

5(6) + 6

30 + 6

36

c) When x = 6, what is the value of x^2?

x^2

6^2

36

Hope this helps!

2+134 add both numbers and type it in the box when u get the answer

Answers

The answer is :
136

Explanation:
134
+ 2
= 136
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