SOLUTION: Find the product: -9y^2(y^4+8y^3-3y^2+8y+7)

Question 610654: Find the product: -9y^2(y^4+8y^3-3y^2+8y+7)
Answer by ashipm01(26) (Show Source): You can put this solution on YOUR website!
There are two polynomials that are being multiplied: and
The first polynomial only has one term, namely
The second polynomial has five terms:

and
So to multiply those two polynomials, take each element in the first polynomial (only one element in this case) and multiply it by each element in the second polynomial. Doing this for this problem will result in a polynomial that has (1 term * 5 terms) = 5 terms.
Performing the multiplication results in the following terms which just need to be summed up after this step:

Summing each of those terms results in the following expression:

Which simplifies to the following:

RELATED QUESTIONS
Can someone please help me Find the product:... (answered by rfer)

Find the product... (answered by jim_thompson5910)

Factor the trinominal y^4+9y^3+8y^2... (answered by jim_thompson5910)

simplify 8y(y - 4) + 3y(y +... (answered by macston)

Find the product: (5x^2 - 8y)(5x^2 +... (answered by mananth)

I need help with this problem. Find the product: -4^2(y^4 + 9y^3 - y^2 + 3y +2)... (answered by Alan3354)

find the lcm of (2+9y),(4-8y^2), and... (answered by robertb)

Have I correctly solved the 4 problems below using the systems of simultaneous equations, (answered by ikleyn)

8y-2-3(y-4) (answered by lynnlo)