find the quadratic polynomial if sum of the zeroes is 1 and product of its zeroes is 1​

Question

find the quadratic polynomial if sum of the zeroes is 1 and product of its zeroes is 1​

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Ayla 3 weeks 2021-10-04T02:46:21+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-04T02:47:55+00:00

    GIVEN:

    Sum of zeroes of quadratic polynomial = 1

    Product of zeroes of quadratic polynomial = 1

    TO FIND:

    The quadratic polynomial

    SOLUTION:

    We know that, the standard form of quadratic polynomial is,

    x² – (sum of zeroes)x + product of zeroes

    Sum of zeroes = 1

    Product of zeroes = 1

    ==> x² – (1)x + 1

    ==> x² – 1x + 1

    Therefore, the required polynomial is x² – x + 1.

    0
    2021-10-04T02:47:59+00:00

    GIVEN:

    • Sum of roots (α + β) = 1
    • Product of roots (αβ) = 1

    TO FIND:

    • Quadratic polynomial

    SOLUTION:

    We know that

    Quadratic polynomial = x² – (sum of zeroes)x + product of roots

    Quadratic polynomial = x² – (1)x + 1

    Hence , required quadratic polynomial = x + 1

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