Question

sum and product of zeros of a quadratic polynomial are zero and root 15 respectively find the quadratic polynomial​

Answer 1

x²+√15 is the required quadratic polynomial

Answer 2

Given:

Sum of zeroes = 0

Product of zeroes = $\sqrt{15}$

To find the quadratic equation:

$p(x) = {x}^{2} - x(Sum\; of\; Zeroes) + (Product\; of \;zeroes)$

$p(x) = {x}^{2} - x(0) + (\sqrt{15}) \\ p(x) = {x}^{2} - 0 + \sqrt{15} \\ p(x) = {x}^{2} + \sqrt{15}$

Hence, the quadratic equation is

${x}^{2} + \sqrt{15}$