# What is the standard form of a polynomial (8x-7)(3x+2)?

Aug 26, 2017

See a solution process below:

#### Explanation:

We can multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis to make this expression in standard form.

$\left(\textcolor{red}{8 x} - \textcolor{red}{7}\right) \left(\textcolor{b l u e}{3 x} + \textcolor{b l u e}{2}\right)$ becomes:

$\left(\textcolor{red}{8 x} \times \textcolor{b l u e}{3 x}\right) + \left(\textcolor{red}{8 x} \times \textcolor{b l u e}{2}\right) - \left(\textcolor{red}{7} \times \textcolor{b l u e}{3 x}\right) - \left(\textcolor{red}{7} \times \textcolor{b l u e}{2}\right)$

$24 {x}^{2} + 16 x - 21 x - 14$

We can now combine like terms:

$24 {x}^{2} + \left(16 - 21\right) x - 14$

$24 {x}^{2} + \left(- 5\right) x - 14$

$24 {x}^{2} - 5 x - 14$