Find the product: -9x(-6x2 + x + 5)

A.54x2 – 9x – 45x
B.-15x3 – 8x2 – 4x
C.54x3 + x + 5
D.54x3 – 9x2 – 45x

1 answer

Product implies multiplication, so:

Distribute the outside element to all three of the terms in parentheses:

Do not forget that that x is like saying x^1. X^1 * x^2= x^3 x^1 * x^1=x^2
If it helps, think of the x as having a 1 in front of it because 1 times anything is itself.

54x^3 - 9 x^2-45x Which is D.