Question

Example 1. Find the zeros of the quadratic
polynomial x2 - 2x - 8 and verify the relationship
between the zeros and the coefficients.​

Answer 1

Answer:

4, -2

Step-by-step explanation:

You can do this using the quadratic formula too but I'm going to use the middle term splitting method.

x^2 - 2x - 8

x^2 - 4x + 2x -8

x(x - 4) + 2(x - 4)

(x + 2)(x - 4)

You can see here that (-2) + 4 = (- b/a) = 2

Also (-2)(4) = (c/a) = -8