Question

Find the quadratic polynomial with sum of its zeros =2 and product of its zeroes=0​

Answer 1

Answer:

2x^2+0

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Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

If the zeroes of the quadratic polynomial are given, then the quadratic polynomial is obtained as

${x}^{2} - ( \: sum \: of \: the \: zeros \: )x + product \: of \: the \: zeros \:$

GIVEN

A quadratic polynomial with sum of its zeros = 2 and product of its zeroes = 0

TO DETERMINE

The quadratic polynomial

EVALUATION

So the required polynomial is

${x}^{2} - ( \: sum \: of \: the \: zeros \: )x + product \: of \: the \: zeros \:$

$= {x}^{2} - 2x + 0$

$= {x}^{2} - 2x$