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

Step-by-step 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

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.