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.

JEE/Engineering Exams

Maths

Solution

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Since the sum of the zeroes of the quadratic polynomial (a +1)x2 +(2a+3)x +(3a+4) is-1. -(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]