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QUADRATIC EQUATION

Performance Task #3:

Solve each quadratic equation by factoring. Show your complete solution.

1. 7x² + 21x = 0

• 7x × (x + 3) = 0
• x × (x + 3) = 0
• x = 0
• x + 3 = 0
• x = 0
• x = 0x = -3

ANSWER:

2. x² - 14x = - 24

• x² - 14x + 24 = 0
• x² - 2x - 12x + 24 = 0
• x × (x + 2) - 12x + 24 = 0
• x × (x + 2) - 12(x-2) = 0
• (x - 2) × (x - 12) = 0
• x - 2 = 0, x - 12 = 0
• x = 2
• x = 2x = 12

ANSWER:

3. 2x² - 12 = 2x

• x² - 6 = x
• x² - x - 6 = 0
• x² + 2x - 3x - 6 = 0
• x × (x + 2) - 3x - 6 = 0
• x × (x + 2) - 3(x + 2) = 0
• (x + 2) × (x - 3) = 0
• x + 2 = 0, x - 3 = 0
• x = -2
• x = -2x = 3

ANSWER:

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