Question

find a quadratic polynomial whose zeroes are -2 and -3​

Answer 1

$\Large{\bf{\green{\cal{\underline{\underline{☞QuestioN☜}}}}}}$

Find a quadratic polynomial whose zeroes are -2 and -3

$\Large{\bf{\green{\cal{\underline{\underline{☞AnsweR☜}}}}}}$

x² + 5x + 6

$\Large{\bf{\green{\cal{\underline{\underline{☞StepS☜}}}}}}$

Let α = -2 and ß = -3

α + ß = -2 + -3 = -5

αß = -2 x -3 = 6

${\underline{\underline{Formula\: for \:forming\: a\: quadratic \:equation\: is}}}$

x² - (α + ß)x + αß

= x² - (-5)x + 6 = x² + 5x + 6