Question

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

x³-15
A.) (x+3)(x-5)
B.) (x-3)(x+5)
C.) (x+3)(x²-4x+5)
D.) The polynomial is irreducible

Answer 1

Its not a correct factorization

Answer 2

Explanation:

(x+3)(x-5)

= x²-5x+3x-15 = x²-2x-15

But the given polynomial x³-15

So it is not the correct factorization.

Again, (x-3)(x+5)

= x²+2x-15

But the given polynomial x³-15

So it is not the correct factorization.

Again , (x+3)(x²-4x+5)

= x³-4x²+5x+3x²-12x+15

= x³-x²-7x+15

But the given polynomial x³-15

So it is not the correct factorization.

So , optionD is the correct answer