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A linear polynomial :-
  • a)
    May have no zero
  • b)
    May have one zero
  • c)
    Has one and only one zero always
  • d)
    May have more than one zero
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A linear polynomial :-a)May have no zerob)May have one zeroc)Has one a...
Linear Polynomial and Zeroes

A linear polynomial is a polynomial of degree 1. It can be expressed in the form of ax + b, where a and b are constants and x is a variable.

Zeroes of a polynomial are the values of x for which the polynomial becomes zero.

Now, let's look at each option to understand which one is correct.

a) May have no zero

This statement is not true. All linear polynomials have exactly one zero.

b) May have one zero

This statement is partially true. A linear polynomial can only have one zero.

c) Has one and only one zero always

This statement is correct. A linear polynomial has exactly one zero.

d) May have more than one zero

This statement is incorrect. A linear polynomial cannot have more than one zero.

Conclusion

Therefore, option 'C' - Has one and only one zero always, is the correct answer. A linear polynomial always has exactly one zero.
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A linear polynomial :-a)May have no zerob)May have one zeroc)Has one a...
Yes it is option c






a linear polynomial has only 1 power ..
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