Algebra Chapter 10 Review

Add and Subtract Polynomials

100

(x² + 3x + 4) - (x² + 3)

3x + 1

200

(4x² + 5) + (4x² + 5x)

8x² + 5x + 5

300

(9x³ + 12x) + (16x³ - 4x + 2)

25x³ + 8x + 2

400

(x³ - x)-(x² + 5)

x³ - x² - x - 5

500

(4x² - 7x + 2) + (-x² + x - 2)

3x² - 6x

To FOIL or not to FOIL?

100

Multiply: (x - 5)(x + 7)

x² + 2x - 35

200

(x + 4)(x² + 2x + 3)

x³ + 6x² + 11x + 12

300

(4x + 1)(5x + 2)

20x² + 13x + 2

400

3x²(7x - x³ - 3)

-3x⁵ + 21x³ - 9x²

500

(-y)(6y² + 5y)

-6y³ - 5y²

Factoring x^2 + bx + c

100

Factor: w² + 13w + 36

(w + 9)(w + 4)

200

Factor: x² + 42 = 13x

(x - 6)(x - 7)

300

Factor: b² + 3b - 40

(b + 8)(b - 5)

400

Find the solutions: x² - 15x + 44

x = 4, 11

500

Find the solutions. x² - 20x = - 51

x = 3, 17

Factoring ax^2 + bx + c

100

Factor: 3x² + 10x + 3

(3x + 1)(x + 3)

200

Factor: 8b² + 2b - 3

(2b - 1)(4b + 3)

300

Factor: 24r² - 6r - 45

3(2r - 3)(4r + 5)

400

Factor: 4x² - 22x - 42

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

500

Find the solutions: 2x² + 19x = -24

x = -1.5, -8

Factoring with Patterns

100

Factor: 4x² - 36

4(x + 3)(x - 3)

200

Factor: 9x² + 6x + 1

(3x + 1)²

300

Factor: 16x² + 80x + 100

4(2x + 5)²

400

Factor: x³ + 125

(x + 5)(x² - 5x + 25)

500

Factor: 2x³ - 250

2(x - 5)(x² + 5x + 25)