Factor the polynomial completely. Use synthetic division.

F(x) = x^3-7x-6

Answer:

The factors of given polynomial    x =-1 , -2 and x =3

Step-by-step explanation:

Step(i):-

Given the polynomial  

                    f(x) =  x³ - 7x -6

 put x =-1

               f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

                   x³    x²      x      constant

     x=-1  ↓   1      0      -7        -6

             ↓   0     -1      1          6

                  1       -1      -6       0    

The polynomial    x² - x - 6

Step(ii):-

The factors ( x+1)(x² - x - 6 ) = 0

     x = -1 and x² - x - 6 =0

    x =-1    and  x² - 3x + 2 x - 6 =0

   x =-1     and  x (x -3) + 2( x-3) =0

   x =-1     and  (x+2)(x-3) =0

Final answer:-

The factors of given polynomial    x =-1 , -2 and x =3

ANSWER WUICK WILL.MARK BRANLIEST The ratio of North American Butterflies to South American butterflies at a butterfly park is 8:5. The ratio of
South American butterflies to European butterflies is 5:2. There are 80 North American butterflies at the
butterfly park.
How many european butterflies are there

28
6. Hannah has 229 horse stickers and
164 kitten stickers. How many more
horse stickers than kitten stickers does
Hannah have?

i need help asap pls and thnx you

(15 POINTS) Select the correct answer.
Which equation has infinitely many solutions?

A. -5(x + 2) = -4x - 12 - X + 2
B. 3x – 4 + 2x = 5(x-4)
C. 5(x + 7) = -5(X - 7)
D. 6x + 2 - x = -2x - 2 + 7 x

Find the inverse of the following function. A. B. C. D.

-The Number can be divided by the least common multiple 4 and 6
-The hundreds digit is 2
-The sum of all three digits is 15

Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?

a group of 6 schools
plan to divide
a grant of $29.4 millions equally
How much will each school
receive?​

I
i Sophie read 84 pages
1
of her book last week
If she read the same
1
number of pages
I every day. How many
page's did she read
I each day?

Beth was working at the grocery store, in the quick check-out line. A customer bought cereal for $3.29 and milk for $3.45. The customer paid with $10.00. How much change does Beth need to give the customer?

David and Jim like to race each other for best times. In April, the ratio of David winning to Jim was 5 : 9. In August, the ratio changed to 10 : 4. If David won 15 races in April, how many races did each brother win in August?

Question
-3(-4)=
Please help me I don’t know what to do!

Someone plz help i need numbers 24 and 26

a rectangle with a length of 3x and a width of x+1 has the same perimeter as a rectangle with a width of x and a length of 2x-2. find the actual dimensions of each figure.

Evaluate the expression |2x-5| for x = -3 and for x = 3

Sean places 10 tomato plants in rows. All rows contain the same number of plants. There are between 3 and 8 plants in each row. How many plants are in each row​

1.)Solve the following equation by completing the square
2x-3x-28=0

2.) find the sum. (The photo goes with question 2)

Using the common​ denominator, what is an equivalent fraction for
​4/7 ?

factor the expression
6x + 24 =

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Bradley and Melissa share $2,000 in the ratio 2:3. a. How much money did Bradley receive? b. How much money did Melissa receive. c. Melissa used her share as a down payment on a dining room set costing $1,500. What is the balance she owes on the dining room set? (Answer all 3 parts of the question.)

Which of the following is an equation? 8x or 8x=2 or 8x-5 or 8÷x?

Which of the following best estimates the sum 1/2+1/3
a 0.4
b .5
c .8
D 1.1

Shannon has 3 more purple beads than yellow beads. Which equation represents Shannon’s beads?

Write the equation of an ellipse with the following characteristics: center =(1,-3) vertices=(-6,-3),(8,-3)
Foci =(-4.7,-3),(6.7,-3)

It is not always possible to measure every individual in a population; what is the name of the representative group

It'll be a life saver if you guys can actually help me with this problem.. Please.
There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
A. P(x=14) + P(x=15) + P(x=16) + P(x=17) + P(x=18) + P(x=19) This is an almost binomial event.
B. binomcdf(25,.7,20) - binomcdf(25,.7,14) This is almost binomial event.
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
D. P(14 < x <20) Not an almost binomial event.
E. binompdf(25,.7,20) - binompdf(25,.7,14) Not an almost binomial event

Please help me ASAP I’ll mark Brainly

How much to the next whole number from 3 9/10 to 4?​

John left a 20% tip on a $40.00 dinner bill how much was the tip​