the sum of the zeroes of a quadratic polynomial is 15/4 and the product is 3 find the polynomial​

Question

the sum of the zeroes of a quadratic polynomial is 15/4 and the product is 3 find the polynomial​

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Sarah 1 month 2021-09-17T09:20:29+00:00 2 Answers 0 views 0

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    0
    2021-09-17T09:22:08+00:00

    sum of zero = -b/a

    -b/a = 15/4

    product of zero = c/a

    c/a = 3

    a = 4 & b = -15 & c = 3

    4x^2-15x +3 is the polynomial

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    0
    2021-09-17T09:22:09+00:00

    Answer:

    quadratic polynomial= x^2-(sum of zeroes)+(product of zeroes)

    =x^2-15/4+3

    = (4x^2-15+12)/4[by taking LCM as 4]

    =4x^2-15+12=0×4

    =4x^2-15+12

    Thus, 4x^2-15+12 is the required polynomial.

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