Question

What is the product of -2x^3 + x - 5 and x^3 - 3x - 4 ? Show your work.

Is the product of x^3 - 3x - 4 and -2x^3 + x - 5 equal to the product of and ? Explain your answer.

Answer 1

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

Explanation:

.................. yw!! for nyone still wondering

Answer 2

For this case we must find the product of the following expressions:

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

We apply distributive property, that is, we multiply term by term, taking into account that:

`- * - = +\\- * + = -`

`-2x ^ {3 + 3} + 6x^(3 + 1) + 8x ^ 3 + x ^ {1 + 3} -3x1 + 1 -4x-5x ^ 3 + 15x + 20 =\\-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20`

If we multiply:

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

We will obtain the same result because we would be applying the commutative property of multiplication.

ANswer:

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