# What is the standard form of a polynomial (x+6)(x+4)?

Jul 1, 2017

See a solution process below:

#### Explanation:

To put the expression in the standard form for a polynomial we need to multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{x} + \textcolor{red}{6}\right) \left(\textcolor{b l u e}{x} + \textcolor{b l u e}{4}\right)$ becomes:

$\left(\textcolor{red}{x} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{x} \times \textcolor{b l u e}{4}\right) + \left(\textcolor{red}{6} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{6} \times \textcolor{b l u e}{4}\right)$

${x}^{2} + 4 x + 6 x + 24$

We can now combine like terms:

${x}^{2} + \left(4 + 6\right) x + 24$

${x}^{2} + 10 x + 24$