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

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Answer 1 · 2016-08-14T02:11:18

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

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

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.

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

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

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

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

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