Question

Find the quadratic polynomial whose zeroes are 5 and -3.​

Answer 1

$\alpha = 5 \: \: and \: \beta = - 3$

$Sum \: of \: Zeros = 5 - 3 = 2$

$Product \: of \: Zeroes \\ (5) \times - (3) = - 15$

$Quadratic \: Polynomial \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

${x}^{2} - 2x - 15 = 0$