Question

Which of the following is a polynomial? give reason a) x+1 divided by x 2 -1 (b)x 2 +(2 divided by x -1) (c) x 2 +(3x 5/3 divided by x 2/3) what is in the bracket is not multiplication. i put it to show that 2 is divided x-1 and 3x 5/3 is divided by x 2/3. and x 2 is seperate.

Answer 1

answer = (c)

given three expressions are:
$a)\ \frac{x+1}{x^2-1}=\frac{1}{x-1}\\\\. (b)\ x^2+\frac{2}{x-1}\\\\. (c)x^2+\frac{3\ x^\frac{5}{3}}{x^\frac{2}{3}} \\\\=x^2+3x$

A polynomial has a sum of terms that have variable x with non negative integer powers. The given expression in (C) simplifies to a polynomial.