Question
Find the zero of the polynomial in each of the following cases:
p(x) = ax, a ≠ 0
Solution
p(x) = ax, a ≠ 0
p(x) = 0
⇒ ax = 0 ⇒ x = 0 | ∵ a ≠ 0
∴ 0 is a zero of the polynomial p(x).