Respuesta :

Setor9
The answer is choice B.

Answer:

Option B is correct

factor completely of [tex]-4x^2+16x-24[/tex] is [tex]-4(x^2-4x+6)[/tex]

Step-by-step explanation:

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

Given the expression:

[tex]-4x^2+16x-24[/tex]

By definition of GCF we have;

Factor a GCF of the given expression.

Since GCF of [tex]-4x^2[/tex], [tex]16x[/tex] and -24  is -4

then;

[tex]-4(x^2-4x+6)[/tex]

Therefore, factor completely of [tex]-4x^2+16x-24[/tex] is [tex]-4(x^2-4x+6)[/tex]