Unit 7 Polynomials Review

Adding Polynomials

Subtracting Polynomials

Multiplying Polynomials

Common Factors/ Special Products

Factoring

Applications

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

100

Multiply the Polynomials:

3x(2x - 5)

6x² - 15x

100

Factor by looking for a common factor:

30x-42

6(5x-7)

100

Factor:

p² +2p -35

(p-5)(p+7)

100

Find the area of a room that is (3x-5) ft by (2x+1) ft.

6x²- 7x - 5 ft²

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

200

Factor by looking for a common factor:

5a³+2a²

a²(5a+2)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

200

What are the dimensions of a rectangular prism with a volume of 15x³+ 52x²+ 32x?

(x)(5x+4)(3x+8)

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

300

Factor:

x² - 81

(x + 9)(x - 9)

300

Factor:

5y² - 22y + 8

(5y - 2)(y - 4)

300

What are the dimensions of a rectangular prism with a volume of 18x³+ 84x²+ 48x?

(6d)(3d+2)(d+4)

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

400

Multiply the Polynomials:

(4n - 1)(3n²- 5n + 4)

12n³ -23n²+21n-4

400

Factor:

p² - 100

(p + 10)(p - 10)

400

Factor:

x³ - 3x² + 8x - 24

(x² + 8)(x - 3)

400

A storage bin in the shape of a rectangular prism has a volume of 10x³+ 9x²+ 2x. What linear expressions can represent possible dimensions of the bin?

x, 5x+2, 2x+1

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

500

Factor by looking for a common factor:

18n⁴+42n+6n

6n(3n³+7n+1)

500

Factor:

3n³ + n² - 15n - 5

(n² - 5)(3n + 1)

500

What are the dimensions of a rectangular prism with a volume of 32x³+ 224x²+ 360x?

(8x)(2x-5)(2x-9)