Find the qudratic polynomial the sum of whose zeroes is -10 and product of its zeroes is -39?

Question

Find the qudratic polynomial the sum of whose zeroes is -10 and product of its zeroes is -39?

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Allison 2 weeks 2021-09-14T12:02:57+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-14T12:04:49+00:00

    Solution

    Given=》

    Sum of zeros = -10

    product of zeros = -39

    To find =》

    Quadratic polynomial

    Formula we used=》

    {x {}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta }

    Explanation =》

    x²-(-10)x+(-39)

    = x²+10x-39

    So quadratic polynomial is x²+10x-39

    0
    2021-09-14T12:04:52+00:00

    \huge\boxed{\fcolorbox{blue}{orange}{★ sOlUtIoN : }}

    Given that,

    ☯ Sum of the zeroes : α + ß = – 10

    ☯ Product of the zeroes : αß = – 39

    We know that,

    The form of quadratic polynomial is

    ↪ x² – (α + ß)x + αß = 0

    Substitute the zeroes

    ➡ x² – (- 10)x + (- 39) = 0

    ➡ x² + 10x – 39 = 0

     \boxed{∴The \:  Quadratic  \: Polynomial \:  is \:  {x}^{2}  + 10x - 39 = 0 }

    Step-by-step explanation:

    <marquee behaviour-move><font color="green pink"><h1># PLEASE MARK ME AS BRAINLIEST✌✌✌</ ht></marquee>

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