Question

If the sum and product of zeroes of polynomial p(x)=ax2-5x+c is equal to 10 each .find the value of a and c

Answer 1

Sum of zero = 10

-(-5)/a = 10

5/a = 10 => a = 5/10 = 1/2

Product of zero = 10

c/a = 10

c/(1/2) = 10

c = 10(1/2)

=> c = 5