verify whether 3 is the zero of the polynomial x²-3x-3=0 ​

Question

verify whether 3 is the zero of the polynomial x²-3x-3=0 ​

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Maya 2 weeks 2021-09-07T11:52:21+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-07T11:53:23+00:00

    x = 3

    x^2 -3x -3 =0

    (3)^2 -3(3) -3 =0

    9 -9 -3 =0

    -3 =0

    hence it is not a zero of polynomial

    0
    2021-09-07T11:53:36+00:00

    Zeros of a Polynomial:

    • The zeros or root of a Polynomial are those value of x for which the value of Polynomial becomes zero
    • For Eg : x = 2 is a zero of ( x – 2)

    \huge\mathfrak\blue{Answer:}

    Given:

    • We have been given a Quadratic Polynomial x² – 3x – 3 = 0

    To Find:

    • We have to verify that whether 3 is a zero of given Quadratic Polynomial or not

    Solution:

    We have been given that

    \sf{ f(x) = x^2 - 3x - 3 }

    \\

    To verify whether x = 3 is a zero of f(x) Polynomial or not we have to put x = 3 in the following given Polynomial

    Putting x = 3 in f(x)

    \implies \sf{ f(3) = (3)^2 - 3 \times 3 - 3 }

    \implies \sf{ 9 - 9 - 3 }

    \implies \sf{ 9 - 12 }

    \implies \sf{ -3 \neq 0 }

    \\

    \sf{\red{Hence \: x = 3 \: is \: not \: a \:  zero \: of  \:Polynomial}}

    __________________________________

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