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Write a quadratic function h whose zeros are 1 and -6.

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Answer to a math question Write a quadratic function h whose zeros are 1 and -6.

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Neal

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105 Answers

1. Use the fact that the zeros of a quadratic function

h(x) = a(x - r_1)(x - r_2)

where

r_1

and

r_2

are the zeros.
2. Substitute the given zeros

r_1 = 1

and

r_2 = -6

h(x) = a(x - 1)(x + 6)

3. Assume

a = 1

(standard form):

h(x) = (x - 1)(x + 6)

4. Expand the product:

h(x) = x^2 + 6x - x - 6

h(x) = x^2 + 5x - 6

Answer:

h(x) = x^2 + 5x - 6

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Write a quadratic function h whose zeros are 1 and -6.

Answer to a math question Write a quadratic function h whose zeros are 1 and -6.

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