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

Step-by-step explanation:

This question can be solved by two methods

Method 1: Substitute x=3 and x=-10 in all the equations and determine which equals to zero (ie., check h(3)=0 and h(-10)=0 for all the equations)

Equation 1

As h(3)≠0, Equation 1 is discounted

Equation 2

As h(3)≠0, Equation 2 is discounted

Equation 3

As h(3)≠0, Equation 3 is discounted

Equation 4

As h(3)=0 and h(-10)=0, Equation 4 represents h(x)

Method 2: Solve to find the roots of each equation where h(x)=0 using the quadratic formula. Roots should be x=3,x=-10

The quadratic formula is:

where a, b and c are as below

Equation 1

As roots are not x=3 and x=-10, Equation 1 is discounted

Equation 2

As roots are not x=3 and x=-10, Equation 2 is discounted

Equation 3

As roots are not x=3 and x=-10, Equation 3 is discounted

Equation 4

As roots are x=3 and x=-10, Equation 4 represents h(x)

the answer to the expression is 83