Question

1. Find the zeroes of the following quadratic polynomials and verify the relationship between

the zeroes and the coefficients.
(i) x²-2x-8

Answer 1

The zeroes are -2 and 4.

Explanation:

x^2 - 2x - 8 = 0

(x + 2)(x - 4) = 0

x + 2 = 0 or x - 4 = 0

x = -2, 4

The general form of the equation is ax^2 + bx + c = 0.

The sum of the zeroes should be equal to -b/a:-

-2 + 4 = 2

and -(-2)/1 = 2

Verified

The product of the zeroes should be c/a = -8:-

-2 * 4 = -8.

Verified.