Question

If zeroes of the quadratic polynomial ax² + bx + c (a, c ≠ 0) are equal, then ______.

Options

• c and b must have opposite signs

• c and a must have opposite signs

• c and b must have same signs

• c and a must have same signs

Answer 1

If zeroes of the quadratic polynomial ax² + bx + c (a, c ≠ 0) are equal, then c and a must have same signs.

Explanation:

As for equal roots to the corresponding equation,

b² = 4ac

Hence ac = `b^2/4`

Hence, ac > 0.

⇒ c and a must have same signs.