Question

Check whether 3 and -2 are the zeroes of the polynomial p(x) when p(x) = x² – x – 6.

Answer 1

Given polynomial p(x) = x² – x – 6 

We have, p(3) = 3² – 3 – 6 

= 9 – 3 – 6

= 9 – 9 

= 0 and 

p(-2) = (-2)² – (-2) – 6 

= 4 + 2 – 6 

= 6 – 6 

= 0 

We see that p(3) = 0 and p(-2) = 0 

∴ 3 and – 2 are the zeroes of the polynomial p(x).