Question

r^2+3r+5-r^3/r is a quadratic/cubic/linear polynomial?

Answer 1

$r^2+3r+5-r^3/r$ is  a linear polynomial

Step-by-step explanation:

based on the highest power of the variables of a polynomial, it can be classified as linear,polynomial, quadratic polynomial,cubic polynomial etc.

In a linear polynomial, the highest power of the variable is 1. The general form of a linear polynomial is ax+b

In a quadratic polynomial, the highest power of the variables is 2.The general form of quadratic polynomial is $ax^2+bx+c$

In a cubic polynomial,the highest power of variable is 3.The general form of cubic polynomial is $ax^3+bx^2+cx+d$.

Take the given question and simplify it

$r^2+3r+5-r^3/r=r^2+3r+5-r^2\\=3r+5$

It is of the form ax+b. Hence it is  a linear polynomial.