Question

Write a quadratic polynomial, sum of whose zeros is 2 under root 3 and their product is 20

Answer 1

$\text{Sum of zeroes}\ = (\alpha + \beta) = 2 \sqrt {3}\\ \\ \text{Product of zeroes}\ = (\alpha \beta) =20\\ \\ Polynomial= x^2 -(\alpha + \beta) \: x +(\alpha \beta) \\ \\ Polynomial= x^2 - 2\sqrt{3} \: x +20$

Answer 2

Heyyyy mate

here is your answer..

given, sum of zeroes( alpha + beeta ). = 2√3

and product of zeroes ( alpha×beeta )= 20

according to formula

x^²-(alpha+beeta)X+alpha × beeta

x^²-(2√3)X+20

so required quadratic polynomial= x^²-2√3x+20

hope it help you