Question

Which of the following expressions is a polynomial?x^4+2x^3+5x^2-x+14(x-y)/(3-x^2)6/x-23x+2x-^3

Answer 1

Option A is correct

Here, we want to select which of the expressions is a polynomial

Generally, we need to understand that a polynomial does not have negative powers

This eliminates the last option as we can see negative power of x in the expression

Furthermore, the second option cannot be considered a polynomial. This is because we have more than one variable present (y in this case is not a constant but a variable)

Also, looking at the third option, we can rewrite what we have here as;

`6(x-2)^(-1)`

This leads to a case of negative power too

So the correct answer is the first option which follows the general form of polynomials;

`a_0+a_1x\text{ + }\ldots+a_nx^n`