Question

1. which of the following expressions is equivalent to $2x^2 - 11x + 12$?

a. $(x - 12)(x + 1)$
b. $(x - 3)(x - 8)$
c. $(2x - 3)(x - 4)$
d. $(2x + 3)(x + 4)$

Explanation:

Step1: Expand Option A

$(x-12)(x+1) = x^2 + x -12x -12 = x^2 -11x -12$

Step2: Expand Option B

$(x-3)(x-8) = x^2 -8x -3x +24 = x^2 -11x +24$

Step3: Expand Option C

$(2x-3)(x-4) = 2x^2 -8x -3x +12 = 2x^2 -11x +12$

Step4: Expand Option D

$(2x+3)(x+4) = 2x^2 +8x +3x +12 = 2x^2 +11x +12$

Answer:

C. $(2x - 3)(x - 4)$