Question

How do you find the product of `(m+3)(m^2+3m+5)`?

Answer 1

`m^3+6m^2+14m+15`

Explanation:

`(m+3)(m^2+3m+5)`

To expand the polynomial multiply each element of the first term by each element of the second term and then combine the coefficients of each power.

`(m+3)(m^2+3m+5) = m(m^2+3m+5) +3(m^2+3m+5)`

`=m^3+3m^2+5m + 3m^2 +9m+15`

`=m^3 +(3+3)m^2 + (5+9)m +15`

`= m^3+6m^2+14m+15`