Factoring and Solving for Zero

2x^3 + x^2 - 3x = 0 Which of the following is the solution set of the equation above?

A. (3/2, 0, 1) B. (-3/2, 1) C. (0, -1, 3/2) D. 0

The polynomial 18x^2 + 27x - 56 has (6x-7) as a binomial factor. Which of the following is another binomial factor of the polynomial?

A. (3x+8) B. (3x-8) C. (3x+6) D. (12x+8)

The equation ax^2 + bx + c = 0, has two solutions of x=3/4 and x=1/2. which of the following could be factors of ax^2 + bx+ c?

A. (4x-3) and (2x-1) B. (4x-1) and (2x-3) C. (4x+1) and (2x+3) D. (4x+3) and (2x+1)

x^2 + 12x + 25 which of the following is equivalent to the expression above?

A. (x+5)^2 B. (x+6)^2 + 11 C. (x+6)^2 -11 D. (x-6)^2 + 11

Which of the following polynomial equations has 8 and -2 as solutions?

A. (x-8)(x-2) = 0 B. (x+8)(x+2) = 0 C. (x-8)(x+2) = 0 D. (x+8)(x-2) = 0

What is the product of all values of k that satisy 4k^2 - 3k = 7?

A. -7 B. -7/4 C. -4/7 D. 7/4

If s>0 and s^2 + 3s -28 = 0, what is the value of s?

A. -7 B. 3 C. 4 D. 7

12x^2 + 2x - 24 Which of the following is equivalent to the expression above?

A. 2(3x-4)(2x+3) B. (4x-3)(3x+8) C. 12(x-2)(x+1) D. 12(x-1)(x+2)

What values of x are solutions for x^2 -x = 12?

A. 4 and -3 B. -4 and 0 C. -4 and 3 D. 0 and 4

If (x+4)(x-2) = (x+1)^2 + b, what is the value of b?

A. 8 B. -7 C. -8 D. -9

x^2 -6x-27 = 0 What is the sum of the two solutions of the equation above?

A. 9 B. 6 C. 0 D. -3

What are the solutions of the equation 3x^2 + 6x -24 =0?

A. x=2 and x=4 B. x=-2 and x=4 C. x=2 and x=-4 D. x=-2 and x=-4

(x-6)(x+1) + 10 Which of the following is equivalent to the expression above?

A. x^2 + 5x + 16 B. (x+5)^2 + 10 C. (x+4)(x+1) D. (x-4)(x-1)