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Which of the following expression are polynomial which are not give reason √3xpower2+5y​

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Which of the following expression are polynomials in one variable and which are non? Give reasons for your answer.

(i) 3x  

2

−2x+5

(ii) x  

2

+  

2

 

(iii) p  

2

−3p+q

(iv) y+  

y

2

 

(v) 5  

x

+x  

5

 

(vi) x  

100

+y  

100

 

Medium

Solution

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(i)3x  

2

−2x+5 Polynomial is one variable

Here x is the only variable.

(ii)x  

2

+  

2

 Polynomial is one variable

Here x is the only variable.

(iii)p  

2

−3p+q Polynomial with two variables.

Here p&q are variables.

(iv)y+  

y

2

 Not a polynomial

∵y is having −ve power in second term.

(v)5  

x

+x  

5

 Not a polynomial

∵x is having fractional power in first term.

(vi)x  

100

+y  

100

 Polynomial with two variables.

Here x&y are variables.

300
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