Find the quadratic polynomial the sum and product of whose zeroes are 4 and -1/4 ​

Question

Find the quadratic polynomial the sum and product of whose zeroes are 4 and -1/4 ​

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Harper 1 month 2021-08-14T04:46:18+00:00 1 Answer 0 views 0

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    2021-08-14T04:47:41+00:00

    Answer:

    Given

     \alpha  +  \beta  = 4 \\  \\  \alpha  \beta  =  \frac{ - 1}{4}

    Quadratic polynomial =

     {x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  = 0 \\  \\  {x}^{2}  - 4x -  \frac{1}{4}  = 0

    To remove denominator Multiplying by 4 on each side.

    4 {x}^{2}  - 16x - 1 = 0

    Hope it helps.

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