Question

Find the quadratic polynomial, tha sum of whose sum of zeroes is √2 and product is -12 hence find the zeroes of the polynomials

Answer 1

sum of zero

$\sqrt{2}$

product of zero -12

${x}^{2} - \alpha + \beta )x + \alpha \beta$

${x}^{2} - \sqrt[]{2} x - ( - 12)$