Question

find the quadratic polynomial whose sum and product of its zeroes are 4 and 5

Answer 1

$\alpha + \beta = 4$

$\alpha \beta = 5$

so , general formula was

$\red{ \boxed{ \orange{ \bf {x}^{2} + ( \alpha + \beta )x - ( \alpha \beta )}}}$

so , by equating ,

⇒ x² + (4)x - (5)

⇒ x² + 4x - 5

✪ The Quadratic Polynomial is x² + 4x + 5