Question

A quadratic polynomial having zeroes 0 and –2, is ______.

Options

• x(x – 2)

• 4x(x + 2)

• x² + 2

• 2x² + 2x

Answer 1

A quadratic polynomial having zeroes 0 and –2, is 4x(x + 2).

Explanation:

Zeroes α = 0, β = –2 quadratic equation is

x² – (α + β)x + αβ = 0

⇒ x² – (0 – 2)x + 0 × –2 = 0

⇒ x² + 2x = 0

⇒ x(x + 2) = 0

Multiplying by 4 on both sides.

4x(x + 2) = 0