Question

sum and product of zeroes of a quadratic polynomial are 0 & √15 resp. find the quadratic polynomial​

Answer 1

Answer:

x²+√15

Step-by-step explanation:

sum of roots(a)=0

product of roots(b)=√15

equation is x²-ax+b

hence the equation is

x²+√15

Answer 2

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▪Given :-

For a Quadratic Polynomial

Sum of Zeros = 0

Product of Zeros = √15

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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 = 0

and

Product = p = √15.

So,

Required Polynomial should be

$\bf{x}^{2} - 0x + \sqrt{15}$

i.e.

$\bf {x}^{2} + \sqrt{15}$

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

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