Question

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Question 13

Write a quadratic function f whose zeros are -6 and -5.

Answer 1

The quadratic function is:

`f (x) = x ^ 2 + 11x +30`

Explanation:

The zeros of a function are all values of x for which the function is equal to zero.

If a function has two zeros then it is a quadratic function.

If the zeros are -6 and -5. Then the function will have the following form:

`f (x) = (x + 6) (x + 5)`

We can expand the expression by applying the distributive property, and we obtain

`f (x) = x ^ 2 + 5x + 6x +30`

`f (x) = x ^ 2 + 11x +30`