Question

Find a quadratic polynomial whose sum and zeroes are √3 and 1/√3 respectively. pls answer it quick

Answer 1

Given ,

The zeroes of polynomial are √3 and 1/√3

We know that , the quadratic polynomial is given by

$\mathtt{\large{\fbox{ {(x)}^{2} - (sum \: of \: zeroes)x +(product \: of \: zeroes) }}}$

Thus ,

${(x)}^{2} - ( \sqrt{3} + \frac{1}{ \sqrt{3} } )x + \sqrt{3} \times \frac{1}{ \sqrt{3} } \\ \\ {(x)}^{2} - ( \frac{1 + 1}{ \sqrt{3} })x + 1 \\ \\ {(x)}^{2} - \frac{2}{ \sqrt{3} }x + 1$

Hence , the quadratic polynomial is (x)² - 2/√3x + 1

Answer 2

Answer:

Find a quadratic polynomial whose sum and zeroes are √3 and 1/√3 respectively. pls answer it quick

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Step-by-step explanation:

find a quadratic polynomial whose zeroes are √3+1/√3 and √3-1/√3