Algebra 1 Chapter 7 Polynomials Review

Adding and Subtracting Polynomials

100

Subtract the polynomials:

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

-2g + 2

200

Add the polynomials:

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

4a + 3

300

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Multiplying Polynomials

100

Multiply the Polynomials:

3x(2x - 5)

6x² - 15x

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Common Factors/ Special Products

100

Factor by looking for a common factor:

30x-42

6(5x-7)

200

Factor by looking for a common factor:

5a³+2a²

a²(5a+2)

300

Factor:

x² - 81

(x + 9)(x - 9)

400

Factor:

p² - 100

(p + 10)(p - 10)

500

Factor by looking for a common factor:

18n⁴+42np+6n

6n(3n³+7p+1)

Factoring Trinomials

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

n² - 15n - 34

(n - 17)(n + 2)

400

Factor:

x² + 5x - 24

(x + 8)(x - 3)

500

Factor:

5y² - 22y + 8

(5y - 2)(y - 4)

Solve by Factoring

100

Solve by factoring:

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

x = -3 or x = 1

200

Solve by factoring:

(2x + 3)(x - 5) = 0

x = -3/2 or x = 5

300

Solve by factoring:

x² - x - 20 =0

x=-4 and x=5

400

Solve by factoring:

x² - 4 = 3x

x = 4 and x = -1

500

Solve by factoring:

5x² - x = 4

x = -4/5 and x = 1