SOLUTION: how do i find the product? {x^2-x+5} {4x^2-2x-1} my guess x^2(4x^2)

SOLUTION: how do i find the product? {x^2-x+5} {4x^2-2x-1} my guess x^2(4x^2) - x(-2x) 5(1) 4x^4-2x-5-

Question 404640: how do i find the product? {x^2-x+5} {4x^2-2x-1}
my guess
x^2(4x^2) - x(-2x) 5(1)
4x^4-2x-5-

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

To multiply polynomials, you multiply each term of one polynomial by each term of the other polynomial. Then, if there are like terms, you add/subtract the like terms. With 3 terms in both polynomials, we are going to do 9 multiplications!

Before we start, I like to change the subtractions, if any, into additions of the opposite because there are many advantages to having everything an addition:

Now we'll start multiplying:

Adding the like terms:

P.S. In response to your thank you note...
The -9x comes from adding the "x" and -10x.

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