**Please take your time and double check ALL work for accuracy. Previous work received from tutors has had issues with incorrect answers. **

Find the product of the roots of the equation.

12×2 + x – 6

a. 2/3

b. -3/4

c. -1/2

d. 1/2

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Find the sum of the roots of the equation.

6×2 – 5x + 1 = 0

a. 1/3

b. -1/2

c. -5/6

d. 5/6

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Solve the equation by factoring.

4×2 + 8x = 21

a. ¼ , 21

b. 3/2, -7/2

c. 21/2, -1/2

d. 7, -¾

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Solve the equation by factoring.

-2×2 + 12x - 16 = 0

a. 4, 2

b. -4, -2

c. 8, -1

d. 8, 1

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Solve the equation by factoring.

x2 + 5x – 24 = 0

a. 2, -12

b. -3, 8

c. -8, 3

d. 12, -2

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Factor the polynomial.

5×2 – 80

a. (x - 40)(5x + 2)

b. (x - 20)(5x + 4)

c. 5(x - 1)(x + 16)

d. 5(x - 4)(x + 4)

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Factor the polynomial.

x2 – 7x + 6

a. (x – 6)(x – 1)

b. (x – 3)(x – 2)

c. (x + 2)(x + 3)

d. (x + 1)(x + 6)

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Factor the polynomial.

x2 + 8x - 9

a. (x - 3)(x + 3)

b. (x - 9)(x + 8)

c. (x + 1)(x - 9)

d. (x - 1)(x + 9)

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##### Which of the following equations would have the roots -½ and ⅗?

a. (2x – 1)(5x + 3) = 0

b. (1x + 2)(3x - 5) = 0

c. (2x + 1)(5x – 3) = 0

d. (1x – 2)(3x + 5) = 0

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Which of the following equations would have the roots -3 and 2?

a. (x - 3)(x + 2) = 0

b. (2x + 6)(x – 2) = 0

c. (3x + 2)(x - 3) = 0

d. (2x + 3)(2x - 2) = 0