Question

When the quadratic equation y = (x - 3)(4x + 2) is written in standard form, what is the value of the coefficient "a?

Answer 1

4

Answer 2

Standard quadratic equation
\[y=ax^2+bx+c\]
we have
\[y=(x-3)(4x+2)\]
\[y=x(4x+2)-3(4x+2)\]
\[y=4x^2+2x-12x-6\]
combine like terms
\[y=4x^2-10x-6\]
compare it with standard equation
\[y=ax^2+bx+c\]
What's the value of a?