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

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