Question

Factor completely 4x2 + 16x.

Answer 1

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 $4x(x+4).$

Answer 2

First factor out the gcf.

4x(x+4)

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