Write the maximum number of real zeros of the polynomial (x − 2)(x − 1) + x²(x − 1)(x − 2) wrong ans will be reported-.

Question

Write the maximum number of real zeros of the polynomial (x − 2)(x − 1) + x²(x − 1)(x − 2)
wrong ans will be reported…..

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Kylie 7 days 2021-09-10T10:41:01+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-10T10:42:37+00:00

    Answer:

    2

    Step-by-step explanation:

    if you take (x-1)(x-2) common you get

    (x-1)(x-2)(x^2 +1)

    in the above polynomial the real roots would be 1 and 2 and imaginary roots would be +i and -i

    so the number of real roots would be 2

    0
    2021-09-10T10:42:45+00:00

    Answer:

    Given P(x)=x^  3
    −x

    To find the zeros of P(x), let P(x)=0

    ⟹x^  3
    −x=0

    ⟹x(x^2
    −1)=0

    ⟹x(x−1)(x+1)=0

    ⟹x=0 and x−1=0 and x+1=0

    ⟹x=0,1,−1 are the zeros of P(x)

    Thus, the number of zeros of P(x) is 3.

    Hence, the answer is 3.

    Hope it helps u.

    Mark my answer as brainlist.

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