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

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

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.

To find the product -9x(-6x^2 + x + 5), you need to distribute -9x to each term inside the parentheses.

First, distribute -9x to -6x^2:
-9x * -6x^2 = 54x^3

Then, distribute -9x to x:
-9x * x = -9x^2

Next, distribute -9x to 5:
-9x * 5 = -45x

Combine the three results:
54x^3 - 9x^2 - 45x

Therefore, the correct answer is D. 54x3 – 9x2 – 45x