Factor completely 2x2 + 28x + 96.

a) 2(x + 6)(x + 8)
b) (2x + 12)(x + 8)
c) 2(x + 4)(x + 12)
d) (2x + 4)(x + 12)

A) 2(x + 6)(x + 8)

Step-by-step explanation:

2x2 + 28x + 96.

We first factor out 2

We get;  2(x² + 14 + 48)

The we factor the expression x² + 14 + 48

Product = 48 , sum = 14, numbers = 8 and 6

Therefore;

x² + 8x + 6x + 48

x(x+8) + 6 ( x+8)

Thus; x² + 14 + 48 = (x+6) (x+8)

Hence, the factorized expression will be;

= 2(x + 6)(x + 8)

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