Factor the GCF out of the polynomial below

Question

Factor the GCF out of the polynomial below:

25x6+5x4+10x3

Answer 1

Assuming the question is to find the greatest Common Factor to

25x⁶ + 5x⁴ + 10x³

First, notice that we can factor a 5 out:

5 ( 5x⁶ + x⁴ + 2x³)

Second, notice that we can factor out x³:

( 5 ) ( x³ )( 5x³ + x + 2 )

There is nothing more to factor out, so we finally have:

( 5x³ )( 5x³ + x + 2 )

So, the GCF is: 5x³

Answer 2

5x^3 ( 5x^3 + x + 2)