Question

If α and β are the zeroes of the polynomial x² – 1, then the value of (α + β) is ______.

Options

• 2

• 1

• –1

• 0

Answer 1

If α and β are the zeroes of the polynomial x² – 1, then the value of (α + β) is 0.

Explanation:

Sum of zeroes of the quadratic equation

ax² + bx + c = 0 is `(-b)/a`

∴ Sum of zeroes of x² – 1 = x² + 0x – 1 = 0 is `(-0)/1` = 0

∴ α + β = 0