Mathematics

Problem

For the quadratic polynomial

p(x)=kx^{2}+13x+6

, where

k

is a real number, it is known that the sum of its zeros is

5

. Answer the following questions. a. (i) Find the value of

k

. b. (ii) Using this value of

k

, determine the product of the zeros and verify that it is equal to the ratio of the constant term to the coefficient of

x^{2}