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

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Answer 1 · 2018-04-11T15:22:40

$color(red)(a=9$

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

$color(red)(a=9$