Algebra 1- Solving quadratic equations (factoring)

Question

How do I find the x-intercept of Y= -16x^2 + 48x

Answer 1

Hey!

In order to solve any quadratic for the x-intercepts (or roots) you must set the entire equation equal to zero.

Remember, before factoring using FOIl or any similar method, always check for a GCF!

The GCF is 16x. Pulling this in front, we have:

16x(-x+3).

We know we need two roots, since the equation has a degree of two. One is in parentheses, the other is on the outside. Set both equal to zero, solve and you have:

x=3 and x=0.

Hope this helped!

Answer 2

y = 0; x = 0 or x = 3

Answer 3

Factor as 16x(x+3)...then your intercepts are 0 and -3.

Sorry, I missed the minus sign in the problem.

Correct answer: 0 and -3.