Question

Multiple the polynomial by monomial. (Simplify) 6q^3( q^2 - 2q + 6)

Answer 1

To simplify the given polynomial,

`6q^3\mleft(q^2-2q+6\mright)`

we know that,

`a^n* a^m=a^(n+m)`

using this property we get,

`6q^3\mleft(q^2-2q+6\mright)=6q^(3+2)-12q^(3+1)+36q^3`
`=6q^5-12q^4+36q^3`

Answer is:

`=6q^5-12q^4+36q^3`