Question

What is the product of -2x^3 +x -5 and x^3 -3x-4?

a) Show your work
b) is the product of -2x^3 +x -5 and x^3 -3x-4 equal to the product of x^3 -3x-4 and -2x^3 +x -5? Explain your answer.

Answer 1

For part 1:

-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20

For part 2:

Based on the foiling of both, they are equal.

Explanation:

(-2x^3 +x -5)( x^3 -3x-4)

What we need to do is foil one by one.

I’ve attached a picture of this.

Once you foil, you add like terms.

Now for part 2, x^3 -3x-4 and -2x^3 +x -5, we do the same process.