Q. 14.8( 4 Votes )

State whether the following expressions are polynomials in one variable or not. Give reasons for your answer.

i. 2x5 – x3 + x – 6

ii. 3x2 – 2x + 1

iii. y3 + 2√3

iv.

v.

vi. x3 + y3 + z6

Answer :

i. 2x5 – x3 + x – 6


There is only one variable ‘x’ with whole number power. So, this is polynomial in one variable.


ii. 3x2 – 2x + 1


There is only one variable ‘x’ with whole number power. So, this is polynomial in one variable.


iii. y3 + 2√3


There is only one variable ‘y’ with whole number power. So, this is polynomial in one variable.


iv.



There is only one variable ‘x’ with whole number power. So, this is polynomial in one variable.


v. 3√ t + 2t


There is only one variable ‘t’ but in 3√t, power of t is which is not a whole number. So, this is not a polynomial in one variable.


vi. x3 + y3 + z3


There are three variables x, y and z, but power is whole number. So, this is not a polynomial in one variable.


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