Chapter 9: Polynomials and Factoring

Standard Form / Classify with Degree and Term

100

2x+5x²

What is Quadratic Binomial? 5x²+2x

200

5x+2x³-6x²

What is Cubic Trinomial? 2x³-6x²+5x

300

8+5x²-3x+x³

What is Cubic Polynomial? x³+5x²-3x+8

400

7x+8x⁴-1

What is Quartic Trinomial? 8x⁴+7x-1

500

3x⁵+4x²-6x⁵-5x²

What is 5th Degree Binomial? -3x⁵-x²

Add & Subtract Polynomials

100

(4x²+2x+5)+(7x²-5x+2)

What is 11x²-3x+7

200

(9x²-5x-4)-(6x²+12x+3)

What is 3x²-17x-7

300

(-4x²+x-10)+(7x²+3x+12)

What is 3x²+4x+2

400

(2x³-4x²+9x-7)-(x³+x²-3x+1)

What is x³-5x²+12x-8

500

(7x⁵-7x³+3x)-(5x⁴-x²+3)

What is 7x⁵-5x⁴-7x³+x²+3x-3

Simplify and Write in Standard Form

100

5x(3x+x²)

What is 5x³+15x²

200

-2x²(4x-10+3x²)

What is -6x⁴-8x³+20x²

300

(4x-1)(x-5)

What is 4x²-21x+5

400

(3x+4)(x+2)

What is 3x²+10x+8

500

(2x³+5)²

What is 4x⁶+20x³+25

Factor, Factor, Factor

100

Factor Using GCF 8x⁴y+10x²y³-4xy

What is 2xy(4x³+5xy²-2)

200

25x²-16

What is (5x-4)(5x+4)

300

4x²-20x+25

What is (2x-5)²

400

x²-13x+36

What is (x-4)(x-9)

500

10x²-250

What is 10(x-5)(x+5)

Geometry

100

A plot of land is x meters wide. The length is 3x+5. What is the area of the land?

What is 3x²+5x

200

The expression 25x²-40x+16 is the area of a square room. What is the side length?

What is (5x-4)

300

Create a trinomial equation for a square room

What is any Perfect Square Trinomial? 4x²20x+25

400

A rectangle has the area of x²+10x+16. If the width is (x+2) what is the length?

What is (x+8)

500

The area of a backyard is x²+9x+18. The area of the deck is x²+7x. What is the area of the grass in the yard?

What is 2x+18