Question

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

Answer 1

`color(red)(a=9`

Explanation:

A quadratic equation in standard form is

`y=color(red)(a)x^2+bx+c`

We are given the quadratic equation

`y=(3x+1)(3x-2)`

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

`y=9x^2-6x+3x-2`

`y=color(red)(9)x^2-3x-2`

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

`color(red)(a=9`