Factor the greatest common factor (GCF) from each polynomial. 2x^4 +8x^3+2x

Question

asked Mar 24, 2023 208k views

2 Answers

Tajihiro · Answer 1 · 2023-03-26T16:41:40+0000

Answer:

2x(x³ + 4x² + 1)

Explanation:

The coefficients are 2, 8, 2.

The GCF of the coefficients is 2

The variable parts are x^4, x^3, x

The GCF of the variable parts is x

The GCF of the entire polynomial is 2x

Now we factor out 2x:

2x^4 + 8x^3 + 2x = 2x(x³ + 4x² + 1)