Question

2. If o, and are the zeros of the quadratic polynomial f(x) = ax? + bx +c, then evaluate:
(i) a-b​

Answer 1

Step-by-step explanation:

Given quadratic polynomial is ax² + bx + c

Given α, β are the zeroes of the given polynomial

α + β = ( – b/a)

αβ = (c/a)

Consider, (α - β)² = (α + β)² - 4 αβ

(α - β)² = (-b/a)² - 4(c/a)

(α - β)² = (b² - 4ac) / a²

(α - β) = ±(b² - 4ac)½ / a

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