# What is the standard form of a polynomial (5h – 3)(3h + 7) ?

May 17, 2018

$- 15 {h}^{2} + 26 h - 21$

#### Explanation:

The standard form for the polynomial $\left(a x + b\right) \left(c x + d\right) = a c {x}^{2} + \left(a d + b c\right) x + b d$

$a = 5$
$b = - 3$
$c = 3$
$d = 7$

So, we get:
$\left(5 h - 3\right) \left(3 h + 7\right) = - 3 \left(5\right) {h}^{2} + \left(5 \left(7\right) - 3 \left(3\right)\right) h - 3 \left(7\right)$

$- 15 {h}^{2} + 26 h - 21$