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Q.

The number of zeroes that polynomial f x = x−2 2 +4   can have is


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a

1

b

0

c

4

d

6 

answer is B.

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Detailed Solution

Given polynomial is f(x)= (x−2) 2 +4  .
We know that, to find the zeroes of a polynomial, we need to equate it to zero.
So, substitute f(x)=0  .
Thus,
(x−2) 2 +4=0   (x−2) 2 =−4   We cannot find x because square cannot be negative.
Therefore, the given polynomial doesn't have a zero.
So, the correct option is (2).
 
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