Question

Q. 1. If zeroes of the polynomial x2 + 4x + 2a are a and
-, then find the value of a.

Answer 1

The complete question - If zeroes of the polynomial x2 + 4x + 2a are α and 2/α, then find the value of a.

Given:

The zeroes of the polynomial x2 + 4x + 2a are α and 2/α.

To find:

Find the value of a.

Solution:

From the given information, we have the data as follows.

The zeroes of the polynomial x² + 4x + 2a are α and 2/α.

The coefficients of a quadratic equation are given as follows.

a = 1, b = 4 and c = 2a

The roots of the equation are α and 2/α.

The sum of roots

α + 2/α = - b/a

α + 2/α = - 4/1

The product of roots

α × 2/α = c/a

2 = 2a/1

a = 1

Therefore, the value of a is 1.