Question

find the quadratic polynomial the some of whose roots is√2 and their product is 1/3​

Answer 1

✨✨✨✨✨✨✨✨✨✨✨✨

HEY FRIEND,

HERE IS YOUR ANSWER >>>

$let \: \alpha and \: \beta be \: the \: zeroes \: of \: the \: polynomial \\ given \\ \alpha + \beta = \sqrt{2} \\ \alpha \beta = \frac{1}{3} \\ we \: have \\ p(x) = a({x}^{2} - ( \alpha + \beta )x + \alpha \beta) \\ p(x) = a({x}^{2} - \sqrt{2}x + \frac{1}{3}) \\ put \: a = 3 \\ p(x) = 3{x}^{2} - 3 \sqrt{2} + 1$

PLEASE MARK AS BRAINLIEST !!!

☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️

✨✨✨✨✨✨✨✨✨✨✨✨✨✨