Question

What is the factorization of the polynomial below

2x^2+28x+98

A. (x+7)(x+2)
B. 2(x+7)(x+7)
C. (x+7)(x+14)
D. (2x+7)(x+7)

Answer 1

(x+14)(x+7) = 2(x+7)(x+7) B

Answer 2

Hello from MrBillDoesMath!

Answer: Choice B, 2(x+7)(x+7)

Discussion:

For 2 out of each term in the polynomial:

2x^2+28x+98 =

2( x^2 + 14x + 49).

Note the 14 = 7 + 7 and 49 = 7*7 sp the polynomial factors as

2 (x+7)^2

which is choice B.

Thank you,

MrB