State whether the following statement is true or false.

A polynomial can’t have more than one zero.

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True

False

answer is B.

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Detailed Solution

Given, a polynomial can’t have more than one zero.
A polynomial is classified into constant, linear, quadratic, cubic, and so on, on the basis of its number of degrees.
A polynomial that has exactly zero degree is referred to as a constant polynomial.
A polynomial that has exactly one degree is referred to as a linear polynomial.
A polynomial that has exactly two degrees is referred to as a quadratic polynomial.
A polynomial that has exactly three degrees is referred to as a cubic polynomial.
A polynomial could have any number of zero depending upon the degree of the polynomial.
A linear polynomial has one zero.
A quadratic polynomial could have at most two zeros.
A cubic polynomial could have at most three zeros.
Therefore a polynomial can have more than one zero.
Thus, the given statement is not true.
Hence, option (2) is correct.

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