Which is the completely factored form of 4x2+28x+49?

Question

asked Sep 3, 2018 119k views

2 Answers

Johann Horvat · Answer 1 · 2018-09-08T07:05:55+0000

Answer: The required factored form of the given expression is
(2x+7)(2x+7).

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

E=4x^2+28x+49~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following factorization formula :

(a+b)^2=a^2+2ab+b^2.

From (i), we have

$E\\\\=4x^2+28x+49\\\\=(2x)^2+2* x*7+7^2\\\\=(2x+7)^2\\\\=(2x+7)(2x+7).$

Thus, the required factored form of the given expression is
(2x+7)(2x+7).