Question

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

Answer 1

Answer:

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

Step-by-step explanation:

When multiplying two expressions, each part of the expression has to be multiplied by each part of the other expression.

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

Let's multiply -2x^3 first.

-2x^3 * x^3 = -2x^6

-2x^3 * -3x = 6x^4

-2x^3 * -4 = 8x^3

Now let's multiply x.

x * x^3 = x^4

x * -3x = -3x^2

x * -4 = -4x

Finally, let's multiply -5.

-5 * x^3 = -5x^3

-5 * -3x = 15x

-5 * -4 = 20

Let's put all of our answers into one expression in descending order of exponents.

-2x^6 + 6x^4 + x^4 + 8x^3 - 5x^3 - 3x^2 - 4x + 15x + 20

Combine like terms:

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