Algebra 1 Unit 5 Review

Add./Sub. Polynomials

100

(3x³ - 2x² + 3x) + (-4x³ - 2x² - 4x)

-x⁴ - 4x² - x

200

(5x² - 5x + 14) - (-6x² + 5x + 7)

11x² - 10x + 7

300

(3 - 2x³ + 4x) - 3(6x + 3x³ - 4)

-11x³ - 14x + 15

400

2(7x - 12 + 3x²) + 3(4x² + 2x - 9)

18x² + 20x - 51

500

-2(x² - 10 + 3x) - 6(2x + 3x² - 2)

-20x² -18x + 32

Rules of Exponents

100

x^2*3x^4*5x

15x^7

200

(2x^2y^3)^3

8x^6y^9

300

y^-1*x^3*y^-2*y*x^3

x^6/y^2

400

(6x^3y^2)/(9x^2y^3)

(2x)/(3y)

500

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

(16y^3)/x^2

Classifying Polynomials

100

3x - 4

Linear Binomial

200

5x³ + 2x - 1

Cubic Trinomial

300

13 - 5 - 2

Constant Monomial

400

5x² - 3x - 1 + 4x⁴ - 5x²

Quartic Trinomial

500

5x⁵ + 3x² - 2x + 3

Quintic Polynomial

Multiplying Polynomials

100

(3x + 2)(2x - 1)

6x² + x - 2

200

(3x - 4)²

9x² - 24x + 16

300

(5x + 3)²

25x² + 30x + 9

400

(2x + 2)(3x² - 3x + 4)

6x³ + 2x + 8

500

(3x + 4)(2x + 2)(4x + 5)

24x³ + 86x² + 102x + 40

Factoring Polynomials

100

Factor out the GCF.

-70b^5-100b^3-70b^2

-10b^2(7b^2+10b+7)

200

Factor completely:

a^2-9a+20

(a-4)(a-5)

300

Factor completely. 

2x^2-10x-72

2(x+4)(x-9)

400

Factor Completely:

81x^4-16

(9x^2+4)(3x+2)(3x-2)

500

Factor completely: 

6x^2-29x+20

(x-4)(6x-5)