Question

Factor completely −4x2 + 16x − 24.

A. −1(x2 − 16x + 24)
B. −4(x2 − 4x + 6)
C. −4x(x2 − 4x + 6)
D. −4(x2 + 4x − 6)

Answer 1

The answer is choice B.

Answer 2

Option B is correct

factor completely of
`-4x^2+16x-24` is
`-4(x^2-4x+6)`

Explanation:

GCF(Greatest Common Factor) states that the largest factor that divides the polynomial.

Given the expression:

`-4x^2+16x-24`

By definition of GCF we have;

Factor a GCF of the given expression.

Since GCF of
`-4x^2`,
`16x` and -24 is -4

then;

`-4(x^2-4x+6)`

Therefore, factor completely of
`-4x^2+16x-24` is
`-4(x^2-4x+6)`