    Question

# Choose the correct statement(s). i) A linear polynomial has only one zero. ii ) A quadratic polynomial will have two zeroes. iii) A quadratic polynomial can have a maximum of two zeroes. iv) A cubic polynomial can have a maximum of three zeroes.

A
(ii) only
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B
(i),(iii) and (iv)
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C
(i),(ii) and (iv)
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D
(ii) only
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Solution

## The correct option is B (i),(iii) and (iv)A polynomial with degree n can have a maximum of n zeroes. The degree of a linear polynomial is 1. Thus, a linear polynomial can have one zero at the most. But if we see a linear polynomial, it's of the form ax+b, a≠0 The zero of this polynomial will be x=−ba. Since a≠0, −ba is always a real number. Hence, a linear polynomial will have one zero. A quadratic polynomial can have a maximum of two zeroes. But this doesnt mean that a quadratic polynomial will "always" have two zeros Similarly a cubic polynomial can have a maximum of three zeroes.  Suggest Corrections  0      Similar questions  Related Videos   Zeroes of a Polynomial
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