Question

Factor out the GCF 45c^6+20c^4

Answer 1

`5c^(4) (9c^(2) +4)`

Explanation:

First we factor out the lowest degree exponent (x^4) out of both sides.

Then we can factor out the GCF of 45 and 20, which is 5.

We cannot factor anything else out of the equation, so the GCF would be
`5c^(4) (9c^(2) +4c)`

The process is shown below:

`45c^(6) +20c^(4) \\= c^(4)(45c^(2) +20c)\\= 5c^(4) (9c^(2) +4)\\`

Answer 2

5c^4( 9c^2 + 4).

Explanation:

The GCF of 45 and 20 is 5 and the GCF of c^6 and c^4 = c^4.

So the GCF is 5c^4 and the factors are:

5c^4( 9c^2 + 4)