find a polynomial with a degree of 3 and zeros -3,3,5

Question

find a polynomial with a degree of 3 and zeros -3,3,5

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Eliza 4 days 2021-09-11T04:28:01+00:00 1 Answer 0

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    2021-09-11T04:29:19+00:00

    Answer:

    f(x) = x³ – 5x² – 9x + 45

    Step-by-step explanation:

    Given x = a, x = b are the zeros of a polynomial, then

    (x – a), (x – b) are the factors and f(x) is the product of the factors.

    Here the zeros are x = – 3, x = 3 and x = 5, thus

    (x + 3), (x – 3) and (x – 5) are the factors and

    f(x) = (x + 3)(x – 3)(x – 5) ← expand the first pair of factors using FOIL

         = (x² – 9)(x – 5) ← distribute

        = x³ – 5x² – 9x + 45

       

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45:7+7-4:2-5:5*4+35:2 =? ( )