Question

find the quadratic polynomial whose zeroes are a and 1/a

Answer 1

Answer:

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Step-by-step explanation:

general way of writing quadratic formula is

and ans in pic

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Answer 2

The correct answer is $x^{2} -(\frac{a+1}{a} )x+1$.

Given: Zeroes of polynomial = a and $\frac{1}{a}$.

To Find: Quadratic polynomial.

Solution:

General Quadratic polynomial,

$x^{2} -(sum of zeroes)x+product of zeroes$

$x^{2} -(a+\frac{1}{a})x+a*\frac{1}{a}$

$x^{2} -(\frac{a+1}{a} )x+1$

Hence, the quadratic polynomial is $x^{2} -(\frac{a+1}{a} )x+1$.

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