Question

Can someone tell me how to evaluate quadratic equations easily with steps (40 points)

Answer 1

Answer:

See below

Step-by-step explanation:

Expansion

$f(x)=3(x+6)^2-75\\\\f(x)=3(x+6)(x+6)-75\\\\f(x)=3(x^2+12x+36)-75\\\\f(x)=3x^2+36x+108-75\\\\f(x)=3x^2+36x+33$ <-- Stop here if this is what you need

Factorization

$f(x)=3(x^2+12x+11)\\\\f(x)=3(x+1)(x+11)$

We know from vertex form that the vertex of the parabola is $(-6,-75)$ and when factored, the zeroes are $x=-1$ and $x=-11$.