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Write a polynomial function in factored form with zeros at −2, 5, and 6.

User Ivagarz
by
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1 Answer

1 vote

Answer:

f(x) = (x + 2)(x - 5)(x - 6)

Explanation:

given the zeros of f(x) are x = a, x= b and x = c, then the factors are

(x - a), (x - b) and (x - c)

The function is then the product of the factors

f(x) = (x - a)(x - b)(x - c)

Here zeros are x = - 2, x = 5 and x = 6, thus the factors are

(x + 2), (x - 5) and (x - 6), so

f(x) = (x + 2)(x - 5)(x - 6) ← in factored form

User HChen
by
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