Question

x³- 1/x⁴+8 is a polynomial write true or false​

Answer 1

Answer:

true

Step-by-step explanation:

polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division (No division operation by a variable).it has degrees

Answer 2

Question :-

$\sf x^3 - \dfrac{1}{ {x}^{4} } + 8$ is a polynomial. Write true or false.

Answer :-

False. It is not a polynomial.

Explanation :-

An expression of the form $\sf f(x) = a_0 + a_1 x + a_2 x^2 + ............ + a_nx^n , \: \: where \: \: a_0 , a_1 , a_2 , .......... a_n$ are real numbers and power of x is a whole number.

Now, if we simplify the given equation,then -

$\sf x^3 - \frac{1}{ {x}^{4} } + 8 = x^3 - x^{-4} + 8$

Here, we can see that power of x is ( - 4 ) which is not a whole number. So the given expression is not a polynomial.