Question

Dividing a polynomial by a monomial(25a^5 - 5a^4 + 15a^3 - 5a) ÷ (-5a)

Answer 1

We want to perform

`(25a^5-5a^4+15a^3-5a)/(-5a)`

Doing this term by term of the dividend (numerator, we have)

`\begin{gathered} (25a^5)/(-5a)+(-5a^4)/(-5a)+(15a^3)/(-5a)+(-5a)/(-5a) \\ =-5a^4+a^3-3a^2+1 \end{gathered}`

Hence the answer becomes

`-5a^4+a^3-3a^2+1`