Question

the quadratic polynomial, the sum and product of whose zeros are 0 and √5 respectively is
a)x²-√5
b)x²+√5
c)x²-5
d)x²+5


Answer with steps.​

Answer 1

Answer:

Option b is the correct answer.

Step-by-step explanation:

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Answer 2

Given : The sum and product of of the zeroes of a quadratic polynomial are 0 and √5 respectively.

To Find : The quadratic polynomial.

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$\underline{\underline\bold{{★According \: to \: the \: question \: : }}}$

• We know that to find a quadratic polynomial, formula is is x² - (sum of zeroes)x + (product of zeroes).

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$\sf : \implies \: quadratic \: polynomial = x {}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes)$

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$\sf : \implies \: quadratic \:polynomial = x {}^{2} - (0)x + ( \sqrt{5} )$

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$\sf : \implies \: quadratic \: polynomial = x {}^{2} + \sqrt{5}$

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$\sf\therefore{\underline{Hence, \: the \: quadratic \: polynomial \: is \: \bold{x {}^{2} + \sqrt{} 5} .}}$