Question

is x² + x + √2 a polynomial in one variable ?give reason for your answer ​

Answer 1

Answer:

Solution

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(i) In 4x

2

−3x+7. all the indies of x are whole numbers. So, it is a polynomial in one variable x.

(ii) In y

2

+

2

the index of y is a whole number. So, it is a polynomial in one variable y.

(iii) In 3

t

+t

2

=3t

2

1

+

2

t, here the exponent of first term is

2

1

, which is not whole number therefore is it not a polynomial.

(iv) In y+

y

2

=y+2y

−1

, here the exponent of first term is −1, which is not whole number, therefore, is it not a polynomial.

(v) In x

10

+y

3

+t

50

is not a polynomial in one variable as three variable x,y and t occur in it.