Question

Find the zeroes of the polynomial

2 − − 6.​

Answer 1

We find the zeroes by factorizing the equation x2 − x − 6 = 0 as follows:

x2 − x − 6 = 0

⇒ x2 − 3x + 2x − 6 = 0

⇒ x(x − 3) + 2(x − 3) =0

⇒ (x + 2) (x − 3) = 0

⇒ x + 2 = 0, x − 3 = 0

⇒ x = −2, x = 3.

Hence, the zeroes of the polynomial x2 − x − 6 = 0 are 3,−2.