Verified Answer :

\(h(3)=h(-10)=0\\\\therefore\\\\h(x)=a(x-x_1)(x-x_2)\\\\h(x)=a(x-3)(x+10)=a(x^2+7x-30)\\\\Answer:\boxed{h(x)=x^2+7x-30}\)

Answer:

\(h(x) = 2x^2+14x - 60\)

Step-by-step explanation:

\(h(3) = h(–10) = 0\)

h(3) means x=3

h(-10) means x=-10

Plug in x values and find out h(3) and h(-10)

LEts check with each option

\(h(x) = x^2 - 13x - 30\)

\(h(3) = 3^2 - 13(3) - 30=-60\) h(3) is not equal to 0

LEts check with option B

\(h(x) = x^2 - 7x - 30\)

\(h(3) = 3^2 - 7(3) - 30=0\)  h(3) is not equal to 0

option C

\(h(x) = 2x^2 +26x - 60\)

\(h(3) = 2(3)^2+26(3)-60=36\)  h(3) is not equal to 0

option D

\(h(x) = 2x^2+14x - 60\)

\(h(3) = 2(3)^2+14(3)-60=0\)  h(3) is equal to 0

Plug in -10 for x

\(h(3) = 2(-10)^2+14(-10)-60=0\)  h(-10) is equal to 0