Question

If LaTeX: \frac{12x^2-6x}{3}=ax^2+bx+c,12 x 2 − 6 x 3 = a x 2 + b x + c , what is the value of LaTeX: aa?

Answer 1

`a=4`

Explanation:

Given the expression

`(12x^2-6x)/(3)=ax^2+bx+c`

Simplifying the left hand side

`(12x^2-6x)/(3)=(12x^2)/(3)-(6x)/(3)=4x^2-2x`

Comparing our result with the right hand side

`4x^2-2x=ax^2+bx+c\\4x^2=ax^2\\a=4`

The value of a is 4.