Question

The zeroes of the polynomial x² – 3x – m (m + 3) are ______.

Options

• m, m + 3

• – m, m + 3

• m, – (m + 3)

• – m, – (m + 3)

Answer 1

The zeroes of the polynomial x² – 3x – m (m + 3) are – m, m + 3.

Explanation:

Given, x² – 3x – m (m + 3)

Putting x = – m, we get

= (– m)² – 3(– m) – m (m + 3)

= m² + 3m – m² – 3m = 0,

Putting x = m + 3, we get

= (m + 3)² – 3(m + 3) – m (m + 3)

= (m + 3) [m + 3 – 3 – m]

= (m + 3) [0]

= 0

Hence, – m and m + 3 are the zeroes of given polynomial.