Question

Which of the following is the correct factorization of the polynomial below?

64x^3 + 27

A. (16x + 8)(3x^2 - 12x + 9)

B. (4x + 3)(16x^2 - 12x + 9)

C. (3x^2 + 4)(3x - 16x + 16)

D. The polynomial is irreducible.

Answer 1

they easiest way to find the right answer is to look at the 2 first terms and checking if they equal 64x³

doing so:

A:

48x³+...

B:

64x³+...

C:

9x³-48x³+...

= -39x³+...

-> the answer should be B, to make sure this is the right answer, you can just solve B

B:

(4x+3)(16x²-12x+9)

= 64x³- 48x²+36x+48x²-36x+27

= 64x³+27

-> answer B is correct