Find the quadratic polynomial, the sum of whose zeros is ‒5 and their products is 6.

It is given in the question that,

Sum of the zeros = - 5


And, product of the zeros = 6


Required polynomial = x2 – (Sum of the zeros) x + Product of the zeros


= x2 – (- 5) x + 6


= x2 + 5x + 6


10