If -1 and 2 are two zeroes of the polynomial 2x cube - x square - 5x -

1.	If -1 and 2 are two zeroes of the polynomial 2x cube - x square - 5x - 2,find the third zero.
Answer» Given polynomial2x^3 - x^2 - 5x - 2 Let p, q and r are three zeroes of polynomialpq = - 12 = - 2.......(1) We know,pqr = - d/a = -(-2)/2 = 1pqr = 1......(2) Put value of p*q from eq(1) in eq(2)r = 1/-2 = - 1/2 Therefore, third zero is - 1/2

If -1 and 2 are two zeroes of the polynomial 2x cube - x square - 5x - 2,find the third zero.

Answer»

Given polynomial2x^3 - x^2 - 5x - 2

Let p, q and r are three zeroes of polynomialp*q = - 1*2 = - 2.......(1)

We know,p*q*r = - d/a = -(-2)/2 = 1p*q*r = 1......(2)

Put value of p*q from eq(1) in eq(2)r = 1/-2 = - 1/2

Therefore, third zero is - 1/2