Which of the following is the GCF of the polynomial 4x4+12x3−36x2+24x ?(1 point)

Question

Responses

4x
4 x

4
4

6x
6 x

2x

Answer 1

To find the greatest common factor (GCF) of the polynomial \(4x^4 + 12x^3 - 36x^2 + 24x\), we first factor out the common terms from each of the coefficients and the variable.

1. The coefficients of the terms are 4, 12, -36, and 24. The GCF of these numbers is 4.
2. In terms of the variable \(x\), each term contains at least \(x\), so we can factor out \(x\).

Thus, the GCF of the entire polynomial is:

\[ 4x \]

Therefore, the correct answer is 4x.