What Is The Product Of -5x^3+2x-4 And X^3-3x-5?, Show Your Work And Explain Your Answer. If You Do Not Explain The Steps Of Your Work, You Will Not Re

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

Show your work and explain your answer. If you do not explain the steps of your work, you will not receive credit. Leave your answer in standard form.
Is the product of -5x^3+2x-4 and x^3-3x-5 equal to the product of x^3-3x-5 and -5x^3+2x-4? Explain your answer.

 

Answer:

To multiply polynomial by a polynomial follow the steps:

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

= -5x³(x³ - 3x - 5) + 2(x³ - 3x - 5) - (x³ - 3x - 5)

= -5x^6 + 15x^4+25x^3 + 2x^3 - 6x -10 - x³+ 3x + 5

= -5x^6 + 15x^4 + 25x^3 + 2x^3 - x³ - 6x + 3x - 10 + 5 (combine like terms and then do the operation)

= -5x^6 + 15x^4 + 26 x³ - 3x - 5 (final answer)

Note: You if you want to have your first term as positive then change all the signs that follow, your answer can be:

= 5x^6 - 15x^4 - 2x^3 + 3x + 5

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

Yes, they have the same product. As you can see, the terms were not interchange it has the same arrangement as the first given. Therefore if you are going to multiply them it will give you the same answer.