Question

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

Answer 1

The product of -2x^3+x-5 and x^3-3x-4 would look like this before simplification:

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

Now combine all the like terms.  For example, 6x^4 + x^4 = 7x^4.

Write the product in the simplest possible form, which involves combining like terms and arranging them in descending order by power of x.