Number of zeros of the 'zero polynomial' is equal to? (1) 0 (2) 1 (3) 2 (4) Infinite
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Zeros of a polynomial can be defined as the points where the polynomial becomes zero on the whole. A polynomial having value zero (0) is called zero polynomial of the form p(x) = 0.
Any value of x can be a zero of a zero polynomial.
The number of zeroes of a zero polynomial = ∞ (Infinite)
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infinite
infiniteWe see that for the zero polynomial, P(x) = 0, any value of x, will give the value of P(x) to be zero. Hence, the number of zeros of the polynomial is infinite.
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