Question
Given that the sum of the zeroes of the polynomial (a +1)x2+(2a +3)x+ (3a + 4) is 1. Find the product of its zeroes.
Solution
Since the sum of the zeroes of the quadratic polynomial
(a +1)x2 +(2a+3)x +(3a+4) is1.
(2a+3)
1
a +1
Sum of zeroes =
(Coefficient of x)
Coefficient of x2]
=
a + 1 =2a +3 a=2
3a +4
Now, product of zeroes ==
3(2) + 4
– 2+1

2.
a +1
Product of zeroes =
Constant term
Coefficient of x2]