Question

if the zeroes of a quadratic polynomial are 10 and-6. find the polynomial

Answer 1

        $\text{\huge \bf \underline{Answer:}}$

        $\text{The two given zeroes are 10 and}-6$

$\implies \: \text{Sum of roots} = 10 + (-6) = 10 - 6 = 4$

$\implies \: \text{Product of roots} = 10(-6) = -60$

        $\text{We know that a quadratic polynomial is of the form}$

$\longrightarrow \: \: \: x^{2} - (\text{Sum of roots})x + (\text{Product of roots})$

$\implies \: \boxed{\boxed{\text{The quadratic polynomial is }x^{2} - 4x - 60}}$