Question

$x {}^{10} + y {}^{3 } + t {}^{50}$
identify weather it is a polynomial​

Answer 1

Answer:

A polynomial is a combination of terms separated by

+

or

−

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Polynomial

Answer 2

Answer:

(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.