Question

Find the quadratic polynomial whose zeros are 3 + √5 and 3 − √5

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Answer 1

Answer:

Required ans of this Questions is at above.

Answer 2

༒ Given ➽

For a Quadratic Polynomial

1st Zero = 3 + √5

2nd Zero = 3 - √5

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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 = 3 + √5 + 3 + √5 = 6

and

Product = p = (3 + √5)(3 - √5) = 4

So,

Required Polynomial should be

$\Large\purple{\bf{x}^{2}  - 6x +  4}$

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

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