Question

Factor completely 2c5 + 44c4 + 242c3.

Answer 1

`2c^3(c + 11)^2`

Explanation:

`2c^5 + 44c^4 + 242c^3 =`

First, we factor the greatest common factor of all terms, 2c^3.

`= 2c^3(c^2 + 22c + 121)`

Now we factor the quadratic trinomial.

We see that it follows the pattern a^2 + 2ab + b^2 = (a + b)^2, so it is the square of a binomial.

`= 2c^3(c + 11)^2`

Answer 2

2c^3(c + 11)^2

Explanation:

First see the greatest common factor is 2c^3

So you would get: 2c^3(c^2 + 22c + 121)

Inside that you can get it down to (c + 11)^2

2c^3(c + 11)^2