Question

write a polynomial whose zeroes are(2+√3) and (2-√3)​

Answer 1

Answer:

$format \: : \\ let \: the \: leading \: number \: be \: x \\ {x}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes) \\ = {x}^{2} - (2 + \sqrt{3} + 2 - \sqrt{3} )x + (2 + \sqrt{3} )(2 - \sqrt{3} ) \\ = {x}^{2} - 4x + (4 - 3) \\ = {x}^{2} - 4x + 1$