1.

Find a quadratic polynomial whose sum of zeros is 9 / 2 and product of zeros is 2 ​

Answer»

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♣ Given :-

For a Quadratic Polynomial :

   

  • Product of Zeros = 2

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♣ To Find :-

  • The Quadratic Polynomial.

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♣ Key POINT :-

If sum and product of zeros of any quadratic polynomial are s and p respectively,

Then,

The quadratic polynomial is given by :-

\bf {x}^{2} - s \: x + p

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♣ Solution :-

Here,

  • Sum = s = 9/2

  • Product = p = 2

So,

Required Polynomial should be

\bf{x}^{2} - \dfrac{9}{2} x + 2.

\Large\purple{:\longmapsto\pmb{2 {x}^{2} -9x +4}}

\Large \red{\mathfrak{ \text{W}hich \: \: is \: \: the \: \: required} }\\ \huge \red{\mathfrak{ \text{ A}nswer.}}

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