Multiply the polynomial by the monomial?

5b(b^5-1/10b^3+1/15b^2-1/25b+1)

1 Answer
Jul 25, 2016

=5b^6-1/2b^4+1/3b^3-1/5b^2+5b

Explanation:

Multiplication distributes term by term, thus:
5b(b^5-1/10b^3+1/15b^2-1/25b+1)
=5b\timesb^5-5b\times1/10b^3+5b\times1/15b^2-5b\times1/25b+5b\times1

Simplifying gets you:
=5b^6-1/2b^4+1/3b^3-1/5b^2+5b