Factoring Polynomials

Adding and Subtracting Polynomials

100

Find the sum.

(x²-5x+15)+(7x²+5x-2)

What is 8x²+13

200

Find the difference.

(3x²-2x+8)-(5x²-4x+3)

What is -2x²+2x+5

300

Find the sum. 

(x²-9x+11)+(3x³-x²+2x)

3x³-7x+11

400

Find the difference.

(6x²-5x+10)-(2x³-5x²+1)

What is

-2x³+11x²-5x+9

500

Find the difference.

(x³+5)-(2x²-3x)

What is

x³-2x²+3x+5

Multiplying Polynomials

100

Find the product. 

(x+7)(x-4)

What is

x²+3x-28

200

Find the product. 

(2x-8)(3x+5)

What is

6x²-14x-40

300

Find the product. 

(3x-5)²

What is

9x²-30x+25

400

Find the product. 

x(x-6)(2x-3)

What is

2x³-15x²+18x

500

Find the product. 

(x+8)(x-8)

What is

x²-64

Factoring Polynomials

100

Factor completely.

3x³-15x

What is

3x(x²-5)

200

Factor completely. 

9x²-64

What is

(3x+8)(3x-8)

300

Factor completely. 

2x²-20x+50

What is

2(x-5)²

400

Factor completely. 

3x³-4x²+9x-12

What is

(x²+3)(3x-4)

500

Factor completely. 

6p³+15p²-24p-60

What is

3(p+2)(p-2)(2p+5)

Solving Polynomial Equations

100

Solve. 

x(x+3)(x-5)=0

What is

x=0, x=-3, x=5

200

Solve. 

x²-15x+50=0

What is

x=10, x=5

300

Solve. 

4x²-16=0

What is

x=2, x=-2

400

Solve. 

x²+14x+49=0

What is

x=-7 repeated solution

500

Solve. 

12x³+4x²-3x=1

What is

x=-1/2, x=1/2, x=-1/3

Unit F Trivia

100

The degree of this monomial

4x²y

What is three

200

The degree of this polynomial

3x²-5x⁴+7x

What is four

300

Which special product is this?

25x²-81

What is a difference of squares?

400

Which special product is this?

9x²-24x+16

What is a perfect square trinomial?

500

What method would you use to factor this polynomial?

2p³+5p²+6p+15

What is factoring by grouping