Question

Factor completely 4x2 + 16x.

Answer 1

First factor out the gcf.

4x(x+4)

The inner binomial cannot be factored so that is the final answer.

Answer 2

Answer: The complete factored form of the given expression is
`4x(x+4).`

Step-by-step explanation: We are given to completely factor the following expression :

`E=4x^2+16x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

Since the given expression does not contain the constant term, so we need to take common x and the common factor 4 from both the terms.

The factorization of expression (i) is as follows :

`E\\\\=4x^2+16x\\\\=4x(x+4).`

Thus, the factors of the given expression are 4, x and (x + 4). And, the complete factored form is
`4x(x+4).`