the sum of the zeros of qua dratic polynomial is 15 upon 4 and their products is 3 find polynomial ​

Question

the sum of the zeros of qua dratic polynomial is 15 upon 4 and their products is 3 find polynomial ​

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Eden 2 weeks 2021-09-13T23:03:40+00:00 2 Answers 0 views 0

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    0
    2021-09-13T23:04:46+00:00

    \huge\red{\underline{{\boxed{\textbf{Answer:-}}}}}

    ▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

    Given:

    • sum of zeroes of a polynomial which is 15/3
    • product of zeroes of a polynomial which is 3

    ▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

    To find:

    • The quadratic polynomial

    ▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

    Solution:

    • When sum and product of zeroes of a polynomial is given,we have to use this formula to find the polynomial.

    x^2(sum of zeroes)x+product of zeroes

    According to the Q,

    x^2-(15/6)x+3

    =x^2-15x/6+3

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    •°•the required polynomial is

     {x}^{2}  -  \frac{15x}{6}  + 3

    ▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

    Verification:

    Sum of zeroes =(-b/a)

    ={-(-15/6)/1}

    =15/6

    product of zeroes=c/a

    =3/1

    =3

    hence,verified !!

    ▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

    \huge\green{Hope\:this\:help\:you}

    MARK AS BRAINLIEST❤️

    0
    2021-09-13T23:04:46+00:00

    GIVEN:

    • Sum of the Zeroes = 15/4
    • Product of Zeroes = 3

    TO FIND:

    • What is the polynomial ?

    SOLUTION:

    We have given that, the sum of the zeros of quadratic polynomial is 15/4 and their products is 3.

    • Sum of Zeroes = 15/4
    • Product of Zeroes = 3

    We know that, the formation of quadratic polynomial is:-

    \large{\boxed{\bf{\star \: x^2 -sx + p \: \star}}}

    Where,

    • s = Sum of Zeroes
    • p = Product of Zeroes

    According to question:

    On putting the given values in the equation, we get

    \sf{\longmapsto x^2 -sx + p}

    \sf{\longmapsto x^2 - \Bigg( \dfrac{15}{4} \Bigg)x + 3 }

    \bf{\longmapsto x^2 - \dfrac{15}{4}x + 3 }

    Hence, the quadratic polynomial formed is 15/4x + 3

    ______________________

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