Question

The function h(x) is quadratic and h(3) = h(–10) = 0. Which could represent h(x)?

h(x) = x2 – 13x – 30
h(x) = x2 – 7x – 30
h(x) = 2x2 + 26x – 60
h(x) = 2x2 + 14x – 60

Answer 1

h(x) must be a constant multiple of (x − 3)(x + 10) = x^2 + 7x − 30. Only 2x^2 + 14x − 60 = 2(x^2 + 7x − 30) matches. So h(x) = 2x^2 + 14x − 60.