# What is the standard form of a polynomial (4x - 3)(5x + 4)?

Apr 6, 2017

See the entire solution process below:

#### Explanation:

To multiply these two terms and put it in standard form you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{4 x} - \textcolor{red}{3}\right) \left(\textcolor{b l u e}{5 x} + \textcolor{b l u e}{4}\right)$ becomes:

$\left(\textcolor{red}{4 x} \times \textcolor{b l u e}{5 x}\right) + \left(\textcolor{red}{4 x} \times \textcolor{b l u e}{4}\right) - \left(\textcolor{red}{3} \times \textcolor{b l u e}{5 x}\right) - \left(\textcolor{red}{3} \times \textcolor{b l u e}{4}\right)$

$20 {x}^{2} + 16 x - 15 x - 12$

We can now combine like terms:

$20 {x}^{2} + \left(16 - 15\right) x - 12$

$20 {x}^{2} + 1 x - 12$

$20 {x}^{2} + x - 12$