Select the correct answer and then click Done. Write a polynomial function in factored form with zeros at -10.-4, and 1. @ f(x)

Question

Select the correct answer and then click Done.
Write a polynomial function in factored form with zeros at -10.-4, and 1.
@ f(x) = (x + 10)(x + 4)(x – 1)
f(x) = x3 + 13×2 + 26% – 40
© f(x) = (x – 10)(x – 4)(x + 1)
@ f(x) = x3 – 13×2 + 26x +40
Done

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Raelynn 1 month 2021-10-10T06:11:29+00:00 1 Answer 0 views 0

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    2021-10-10T06:12:54+00:00

    Answer:

    f(x) = (x + 10)(x + 4)(x – 1)

    Step-by-step explanation:

    Given the zeros of a polynomial, say x = a and x = b, then

    the factors are (x – a) and (x – b)

    The polynomial is then the product of the factors

    f(x) = (x – a)(x – b)

    Here the zeros are x = – 10, x = – 4 and x = 1, thus the factors are

    (x – (- 10)), (x – (- 4)) and (x – 1), that is

    (x + 10), (x + 4) and (x – 1)

    f(x) = (x + 10)(x + 4)(x – 1)

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