Question

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

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Neal

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72 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 zerosr_1 = 1 and r_2 = -6 :

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

3. Assumea = 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

2. Substitute the given zeros

3. Assume

4. Expand the product:

Answer:

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