How many zeros does a linear polynomial have?

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No zero

May have one zero

One and only one zero always

May have more than one zero

answer is C.

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Detailed Solution

Here, we have to find the number of zeroes a linear polynomial can have.
A linear polynomial is a kind of polynomial in which the variable’s highest degree is 1.
A linear polynomial is of the form,

p (x) = ax + b, a \neq 0 .

To find zero of

p (x)

, we consider,

p (x) = 0

\Rightarrow ax + b = 0

\Rightarrow x = - \frac{b}{a}

Therefore, a linear polynomial has one and only one zero always.
Hence, option 3 is correct.

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