Question

question 4.
which expression is a factored form of $12x^2 - 44x - 16$?
a. $4(3x + 1)(x - 4)$
b. $2(3x + 2)(2x - 2)$
c. $4(3x - 1)(x + 4)$
d. $4(3x - 1)(x - 4)$

Explanation:

Step1: Factor out GCF

GCF of 12, -44, -16 is 4: $4(3x^2 - 11x - 4)$

Step2: Factor quadratic

Find two numbers: product=-12, sum=-11 → -12 and 1. Rewrite: $4[3x^2 -12x + x -4]$

Step3: Group and factor

Group terms: $4[(3x^2-12x)+(x-4)] = 4[3x(x-4)+1(x-4)]$

Step4: Factor common binomial

$4(3x+1)(x-4)$

Step5: Match with options

Result matches option A.

Answer:

A. 4(3x + 1)(x - 4)