Find the zero of the polynomial in the following case:-
p(x) = ax, a ≠ 0
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Solution
p(x) = ax
p(x) = 0
ax = 0
x = 0
Therefore, for x = 0, the value of the polynomial is 0 and hence, x = 0 is a zero of the given polynomial.
Concept: Zeroes of a Polynomial
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