Question

find a quadratic polynomial whose zeros are -5 and -6

Answer 1

$p(x) = k{ {x}^{2} - ( - 5)x + ( - 6)} \\ p(x) = {x}^{2} + 5x - 6$

Answer 2

Sum of zeros ={-5-5}

=-10

Product of zeros = -5*-5

=25

x²-(sum of zeros ) x+ product of zeros

x²+10x+25