Question

if two zeroes of the polynomial are -3and 5 find the polynomial​

Answer 1

$\textsf{Answer:-}$

x² + 2x - 15.

Sum of zeros = α + β = ( 3 + { - 5 } ) = - 2.

Product of zeros = αβ = { 3 x - 5 } = - 15.

p(x) = x² - ( α + β )x + αβ

∴The quadratic polynomial whose zeroes are 3

and -5 is x² + 2x - 15.