Question

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

Answer 1

`x^(2) +7x-30=0`

Explanation:

So all we need to do is create a quadratic equation that has x equal to 3 and -10. So lets solve it backwards:

`x=-10, x=3`

Start with the given solutions.

`x-3=0, \ x+10=0`

Get everything to one side so that only 0 remains on the right side (for both equations).

`(x-3)(x+10)=0`

Use the zero product property to combine the equations.

`x^(2) +7x-30=0`

FOIL out the left side.

Solve that equation, and we find that we get x = 3 and x = -10, so
`x^(2) +7x-30=0` is the correct answer

Answer 2

Answer: The answer is x2-7x-30. When you multipy 3 and 10 (from x=3 and x=10), you should get a -7x and a -30 leaving you with the equation x2-7x-30.

Explanation: