Question

which of the following expressions are polynomials in one variable and which are not ?state reasons for your answer. 1) 4x²-3x+7​

Answer 1

Step-by-step explanation:

Let's simplify step-by-step.

4x2−3x+7

There are no like terms.

Answer:

=4x2−3x+7

Answer 2

Solution:

i)     4x²- 3x+7

The given expression has single variable x.

The exponent of x is whole number i.e , 2.

Hence, The given expression is a polynomial in one variable.

ii) y²+√2

The exponent of y is a whole number i.e , 2.

Hence, the given expression is a polynomial in one variable.

iii) 3√t + t√2

Here,the exponent of the first term is ½, which is not a whole number.

Therefore, its not a polynomial.

iv) y + 2/y

y + 2y-¹

Here the exponent of the second term is negative (-1 ), which is not a whole number.

Hence, the given expression is not a polynomial.

v)   x^10 + y^3 + t^50

The expression has three variables x, y, t.

Hence, it is not a polynomial in one variable.

Hope this answer will help you...