Question

Which is a factor of 4x2 + 36x + 72?

Answer 1

If you factor that out, it would be 4(x+6)(x+3)

Answer 2

Factorization of
`4x^2 + 36x + 72` is:

4(x+3)(x+6)

factors are: 4, x+3 and x+6

Explanation:

we are given a expression:

`4x^2 + 36x + 72`

We have to factorize this expression

`4x^2 + 36x + 72=4(x^2+9x+18)`

Now, we factorize
`(x^2+9x+18)`

`x^2+9x+18=x^2+6x+3x+18\\\\=x(x+6)+3(x+6)\\\\=(x+3)(x+6)`

Hence, factorization of
`4x^2 + 36x + 72` is:

4(x+3)(x+6)

factors are: 4, x+3 and x+6