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

Question

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

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Solution

The function h(x) is a quadratic function, which means it can be represented in the form of ax^2 + bx + c = 0. Given that h(3) = h(-10) = 0, we can say that the roots of the quadratic equation are x = 3 and x = -10.

A quadratic function that has roots at x = r and x = s can be represented as a(x - r)(x - s) = 0.

Substituting the given roots into this equation, we get:

h(x) = a(x - 3)(x + 10)

This is a possible representation of h(x). The exact values of a, b, and c in the standard form of the quadratic equation (ax^2 + bx + c = 0) would depend on the specific value of a, which is not given in the problem.

This problem has been solved

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