The sum and product of the zeroes of a quadratic polynomialP(x) = ax2 – InterviewSolution

1.

The sum and product of the zeroes of a quadratic polynomialP(x) = ax2 + bx + c are - 3 and 2 respectively. Show that b+c=5a.

Answer»

Let m and n are zeroes of p(x) = ax^2 + bx + c

Then,m + n = - b/a = - 3b = 3a.....(1)

m*n = c/a = 2c = 2a..... (2)

Add eq(1) & eq(2), we getb + c = 3a + 2ab + c = 5a

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