Question

If the sum and product of zeroes are 8 and -3 respectively, then find the
quadratic polynomial​

Answer 1

Answer:

$\alpha + \beta = 8 \\ \alpha \beta = - 3 \\ quadratic \: polynomial = k( {x}^{2} - ( \alpha + \beta )x \: + ( \alpha \beta) ) \\ = k( {x}^{2} - 8x + ( - 3)) \\ = k( {x }^{2} - 8x - 3)$