# How do you write a^3(a^2+a+1) in polynomial form?

Aug 31, 2017

See a solution process below:

#### Explanation:

Multiply each term within the parenthesis by the term outside the parenthesis;

$\textcolor{red}{{a}^{3}} \left({a}^{2} + a + 1\right) \implies$

$\left(\textcolor{red}{{a}^{3}} \times {a}^{2}\right) + \left(\textcolor{red}{{a}^{3}} \times a\right) + \left(\textcolor{red}{{a}^{3}} \times 1\right) \implies$

${a}^{5} + {a}^{4} + {a}^{3}$

If you want to show the entire polynomial it could be:

${a}^{5} + {a}^{4} + {a}^{3} + 0 {a}^{2} + 0 a + 0$