Question

If the zeroes of a quadratic polynomial ax² + bx + c are both positive, then a, b and c all have the same sign.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

If the zeroes of a quadratic polynomial ax² + bx + c are both positive, then

α + β = `- b/a` and αβ = `c/a`

Where α and β are the zeroes of the quadratic polynomial and α, β > 0.

∴ c < 0, a < 0 and b > 0

or c > 0, a > 0 and b < 0