Question

write whether the following expression are polynomial or not give reason for your answer x cube + 1 by X square + 1 by X + 1​

Answer 1

Answer:

both are polynomial as it consists of x

Answer 2

The given expression $\frac{x^3+1}{x^2}+\frac{1}{x+1}$ is not a polynomial.

Step-by-step explanation:

Given expression is $\frac{x^3+1}{x^2}+\frac{1}{x+1}$

To write whether the given expression is polynomial or not :

• $\frac{x^3+1}{x^2}+\frac{1}{x+1}$
• Given expression is not a polynomial.
• Because the given expression $\frac{x^3+1}{x^2}+\frac{1}{x+1}$ is of the form of the division .

• It is not a polynomial because it's not possible to simplify the given expression $\frac{x^3+1}{x^2}+\frac{1}{x+1}$
• From the definition of polynomial is  that the expression should be expressed as by using addition,subtraction, multiplication.
• And the expression must be  possible to simplify and use only those operations and their exponents are all positive integers.

Therefore the given expression $\frac{x^3+1}{x^2}+\frac{1}{x+1}$ is not a polynomial