Quiz 3 - Factoring Review

Fully factor using GCFs: 12x² - 24x⁴

• 2x(6x - 12x³)

• 12x²(1 - 2x²)

• 12x²(x - 2x²)

• 12x²

Factor fully: 3x² + 12x - 36

• (x+6)(x-2)

• 3(x+6)(x-2)

• 3(x-6)(x+2)

• (x-6)(x+2)

Factor fully: y = x² - 64

• y = (x+16)(x-16)

• not factorable

• y = (x+8)(x-8)

• y = (x+32)(x-2)

Find the solutions: x² + 7x + 12 = 0

• x = 6 and x = 2

• x = 3 and x = 4

• x = -3 and x = -4

• no real solutions

Factor fully and determine the solutions: y = 3x² - 13x - 10

• x = -2/3 and x = 5

• x = 2/3 and x = 5

• (3x+2)(x-5)

• x = 15 and x = -2

Identify the error!

• Step 1, they added 2x incorrectly (instead of subtracting 2x)

• Step 2, they added 21 incorrectly (instead of subtracting 21)

• Step 3, they factored incorrectly (the factors should be (x+21)(x+1)=0)

• In step 4, they put +3 and +7 (instead of -3 and -7)

Which of the following discriminants gives you 2 real roots?

• discriminant = positive

• discriminant = negative

• discriminant = 0

Which of the following discriminants gives you no real roots?

• discriminant = positive

• discriminant = negative

• discriminant = 0

Type in the discriminant: 2x² - 5x + 3

Simplify the expression: 2x³ - 8x

• 2x(x² - 4)

• 2x(x - 4)

• 2x(x² - 4x)

• 2x³(1 - 4x^-2)