Chapter 7 Review

Adding & Subtracting Polynomials

100

(3x⁴ - x² + 5) + (4x³ + 7x² - 5)

3x⁴ + 4x³ + 6x²

200

(x⁴ + x² + 7x) - (8x + 3x⁴ + 8x²)

-2x⁴ - 7x² - x

300

(3x - 2x⁴ + 5x²) - (3x + 7x² - 3x⁴)

x⁴ - 2x²

400

(8x - 7x³ - 3x²) + (4x³ + 2x² - 8x)

-3x³ - x²

500

(6x³ - 5 - 6x⁴) - (4 - x⁴ + 3x³)

-5x⁴ + 3x³ - 9

Multiplying Polynomials

100

(4x + 6)(5x - 1)

20x² + 26x - 6

200

(x - 6)(4x - 2)

4x² - 26x + 12

300

(-2x + 3)(-7x + 4)

14x² - 29x + 12

400

(x+5)(6x² + 8x + 5)

6x³ + 38x² + 45x + 25

500

(5x - 5)(6x² + 6x - 3)

30x³ - 45x + 15

Factoring Quadratic Expressions

100

x² + 14x + 40

(x + 4)(x + 10)

200

x² - 5x - 36

(x + 4)(x - 9)

300

x² - 12x + 27

(x - 9)(x - 3)

400

x² - 9x - 52

(x + 4)(x - 13)

500

x² + 7x - 60

(x + 12)(x - 5)

Factoring Expressions when a > 1

100

3x² + 5x + 2

(3x + 2)(x + 1)

200

2x² - 13x - 45

(2x + 5)(x - 9)

300

7x² - 61x - 18

(7x + 2)(x - 9)

400

Find the GCF, then factor:

15x² + 3x - 18

3(5x + 6)(x - 1)

500

Find the GCF, then Factor:

21x² - 98x + 56

7(3x - 2)(x - 4)

Solving Equations

100

x² + 4x + 3 = 0

x = -3, x = -1

200

x² - 2x - 24 = 0

x = -4, x = 6

300

x²  + 12x + 36 = 0

Repeated Roots: x = -6

400

x² - 13x + 42 = 0

x = 6, x = 7

500

x² + 24x + 95 = 0

x = -5, x = -19