# What is the standard form of a polynomial (3x+4)(5x-9)?

Aug 2, 2017

#### Answer:

See a solution process below:

#### Explanation:

To write this polynomial in standard form we must multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{3 x} + \textcolor{red}{4}\right) \left(\textcolor{b l u e}{5 x} - \textcolor{b l u e}{9}\right)$ becomes:

$\left(\textcolor{red}{3 x} \times \textcolor{b l u e}{5 x}\right) - \left(\textcolor{red}{3 x} \times \textcolor{b l u e}{9}\right) + \left(\textcolor{red}{4} \times \textcolor{b l u e}{5 x}\right) - \left(\textcolor{red}{4} \times \textcolor{b l u e}{9}\right)$

$15 {x}^{2} - 27 x + 20 x + 36$

We can now combine like terms:

$15 {x}^{2} + \left(- 27 + 20\right) x + 36$

$15 {x}^{2} + \left(- 7\right) x + 36$

$15 {x}^{2} - 7 x + 36$