Quadratic Factoring and Solving Review

Factor the quadratic expression: x² + 5x + 6

• (x + 1)(x + 6)

• (x - 2)(x - 3)

• (x + 4)(x + 5)

• (x + 2)(x + 3)

Solve the quadratic equation by factoring: x² - 9x + 20 = 0

• x = 2 or x = 10

• x = 6 or x = 7

• x = -4 or x = -5

• x = 4 or x = 5

Use the zero product property to solve the equation: (x - 3)(x + 4) = 0

• x = 0, 7

• x = 7, -2

• x = 3, 4

• x = 3, -4

Factor the quadratic expression: 2x² + 7x + 3

• 2x^2 + 7x - 3

• (2x+1)(x+3)

• (2x-1)(x-3)

• (2x+3)(x+1)

Solve the quadratic equation by factoring: x² - 6x - 27 = 0

• x = 9, -3

• x = 6, -9

• x = 3, -9

• x = 9, 3

Factor the quadratic expression: 4x² + 12x + 9

• (2x + 3)(2x + 3)

• (2x + 3)(2x -3)

• (2x + 3)²

• (4x + 3)(x + 3)

Organize these quadratics into the right categories

Groups:

(a) Diff of Sqr's

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(b) GCF only

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(c) Perfect Sq. Tri

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(d) Tri w/ a > 1

Factor: 9x² + 66x + 21

• 3(3x+1)(x+7)

• (6x+2)(x+7)

• (3x+7)(x+1)

• 3x(x² +33x+7)

Factor: 4x² + 16

• 4(x² - 4)

• 4(x+2)(x-2)

• (2x+4)(2x-4)

• 4(x² + 4)

Factor: 2x² - 98

Mathematical Equivalence

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