Answer: The complete factored form of the given expression is [tex]4x(x+4).[/tex]
Step-by-step explanation: We are given to completely factor the following expression :
[tex]E=4x^2+16x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
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 :
[tex]E\\\\=4x^2+16x\\\\=4x(x+4).[/tex]
Thus, the factors of the given expression are 4, x and (x + 4). And, the complete factored form is [tex]4x(x+4).[/tex]
