# What is the value of the coefficient of "a" when the quadratic equation y = (3x + 1)(3x − 2)?

Apr 11, 2018

color(red)(a=9

#### Explanation:

A quadratic equation in standard form is

$y = \textcolor{red}{a} {x}^{2} + b x + c$

We are given the quadratic equation

$y = \left(3 x + 1\right) \left(3 x - 2\right)$

Let's expand the parentheses and add similar terms to put the equation in standard form.

$y = 9 {x}^{2} - 6 x + 3 x - 2$

$y = \textcolor{red}{9} {x}^{2} - 3 x - 2$

Comparing this equation to the general form, we can see that

color(red)(a=9