Question

What is the factorization of the polynomial below?

3x2 + 30x + 48

A. (x + 2)(x + 8)
B. (x + 2)(x + 24)
C. (3x + 2)(x + 8)
D. 3(x + 2)(x + 8)

Answer 1

The answer to this question is D. 3(x + 2)(x + 8). 3x^2 + 30x + 48 factors into
3(x + 2)(x + 8).

Answer 2

Answer:3(x +2)(x+8)

Explanation:

3x2 + 30x + 48

3 is a common factor, so we will start by factoring it out from the expression, the expression becomes;

3(x2 + 10x + 16)

Then the next step is to find two factors of 16, those two factors must be such that their products give 16 and their sum give 10 ( 8 and 2 are the two factors, the sum of 8 and 2 is 10 and the product of 8 and 2 Is 16)

3(x2 + 10x + 16)

we shall now proceed to factorize

x2 + 10x + 16

we will replace 10x by 8x + 2x

x2 + 8x + 2x + 16

x(x+8) +2(X+8)

(x+2)(x+8)

Hence ; 3(x+2)(x+8)