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

1 Answer
Aug 14, 2016

Answer:

#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#