Question

find a quadratic polynomial
whose sum of zeroes is 0 and product of zeroes is 1/4​

Answer 1

Dear Student,

★ Answer :

Quadratic polynomial equation is ⇒   x² + 0 x +  $\frac{1 }{4}$

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★ Explanation :

Given:

➠  Sum of zeroes = α + β = 0

➠ Product of zeroes = αβ =  $\frac{1}{4}$

Then,

✪ Formula :

The quadratic polynomial = x² – (sum of zeroes) x + product of zeroes

                                            = x² – (0 ) x +  $\frac{1}{4}$

                                            = x² – 0 +  $\frac{1 }{4}$

                                            = x² +  $\frac{1 }{4}$

                            ⇒ Answer  i.e = x² + 0 x +  $\frac{1 }{4}$

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Here a = 1 , b = 0 ,   c =  $\frac{1 }{4}$