Synthetic Division Review

Vocabulary

100

What is name of the term you're dividing by when using synthetic division?

Divisor

200

What is the name of the answer you get when dividing?

Quotient

300

What is the k-value when the divisor is (x-2)?

2

400

What is the k-value when the divisor is (x+12)?

 -12

500

What is the number in front of a variable in an algebraic term called?

Coefficient

Synthetic Division

100

(x^2-13x-48)/(x+3)

x-16

200

(x^3+5x^2-x-9)/(x+2)

x^2+3x-7+5/(x+2)

300

(x^3+5x^2-3x-1)/(x-1)

x^2+6x+3+2/(x-1)

400

(x^4+2x^3+x-3)/(x-1)

x^3+3x^2+3x+4+1/(x-1)

500

(x^5-1)/(x-1)

x^4+x^3+x^2+x+1

Solving with Synthetic Division

100

Step 1: Use Synthetic Division to divide.

Step 2: Factor each polynomial completely, AND find all solutions.

(x^2+5x-50)/(x-5)

x=-10, 5

200

Step 1: Use Synthetic Division to divide.

Step 2: Factor each polynomial completely, AND find all solutions.

(5x^2-38x-16)/(x-8)

x=-2/5, 8

300

Step 1: Use Synthetic Division to divide.

Step 2: Factor each polynomial completely, AND find all solutions.

(x^3+4x^2-4x-16)/(x+4)

x=-4,-2,2

400

Step 1: Use Synthetic Division to divide.

Step 2: Factor each polynomial completely, AND find all solutions.

(x^3+7x^2+15x+9)/(x+1)

x=-3,-1

500

Step 1: Use Synthetic Division to divide.

Step 2: Factor each polynomial completely, AND find all solutions.

(x^3-x^2-6x)/(x-3)

x=-2,0,3

Remainders

100

What is the remainder?

(x^3-4x^2+x-5)/(x+2)

-31

200

What is the remainder?

(x^3+5x^2-x+1)/(x+2)

15

300

What is the remainder?

(2x^3-4x+3)/(x-1)

1

400

What is the remainder?

(x^4+2x^3+x-3)/(x-1)

1

500

What is the remainder?

(x^4-1)/(x-1)

0