Question

which of the following expressions are polynomials in one variables and which are not? which reasons for your answer. II) 5 root x + x root 5​

Answer 1

Answer:

Here we are provided with an polynomial but we have to check whether it's following the rules for becoming a polynomial in one variable.

GiveN:

• Polynomial- 5√x + x√5

Now we know that, the degree of all terms having the variables, like x in this equation should be a whole number i.e. degree can be any number from 0,1,2.....so on. So, let's check the degree of the variable in the above question.

➝ 5 (√x) + x√5.

Here √x can written as $\sf{{x}^{1/2}}$. We can see that the degree is a rational number but it's not whole number. It is fraction. Hence, this is not satisfying the condition for polynomial.

Hence,

The above is not an polynomial.