Question

If α and β are the zeroes of the polynomial x2 – x – 4, find α2 + β2

Answer 1

Answer:

9

Step-by-step explanation:

α+β = -b/a = 1

αβ = c/a = -4

(α+β)² - 2αβ = α²+β²

= 1² - (-8)

= 1+8

=9