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Q.

Find the zero of the polynomial Question Image.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is D.

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Detailed Solution

Concept- We need to know what the polynomial zero is in this case. The polynomial's zero denotes the value at which the specified polynomial becomes zero. That value reflects the polynomial zero. As an example: If we have the polynomial, we can Question Image Then we must determine the polynomial zero. So we must determine the value of x at which the above polynomial equals zero. So if we multiply it by zero, we get
Question ImageQuestion ImageQuestion ImageSo we get that Question Image is the zero of the given polynomial.
Here we are given to find the zero of the polynomial p(x) =3 x-2
Therefore, we must identify the point at which the specified polynomial becomes zero.
For example: For the Question Imagewe need to find the zero of this polynomial. So actually we need to find the value of x at which the given polynomial is zero. To do so, we equate the polynomial  to zero.
Question ImageQuestion ImageQuestion ImageIf we put Question Image in the given polynomial we will get Question ImageAs a result, we may argue that the zero of the above polynomial is x = -1.
Now we need to find the zero of the polynomial which is given as
Question ImageSo put this equal to zero and solve for x.
Question ImageQuestion ImageQuestion ImageQuestion ImageHence, we can say that when the value of the Question Image then the value of the given polynomial function is zero and therefore it is known as the zero of the given polynomial.
As a result, it is referred to as the zero of the specified polynomial.
Hence, the correct option is 4.
 
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