If for x = a, the value of the polynomial p(x) is 0 i.e., p(a) = 0; then x = a is a zero of the polynomial p(x).
For example :
(i) For polynomial p(x) = x – 2;
p(2) = 2 – 2 = 0
∴ x = 2 or simply 2 is a zero of the polynomial p(x) = x – 2.
(ii) For the polynomial g(u) = u2 – 5u + 6;
g(3) = (3)2 – 5 × 3 + 6 = 9 – 15 + 6 = 0
∴ 3 is a zero of the polynomial g(u) = u2 – 5u + 6.
Also, g(2) = (2)2 – 5 × 2 + 6 = 4 – 10 + 6 = 0
∴ 2 is also a zero of the polynomial g(u) = u2 – 5u + 6
Impoortant Points to Remember:
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