Question

What is the degree of the following polynomial expression:
$4{x^2} - 3x + 2$

Answer 1

Hint: Polynomial can be defined as an expression with two or more algebraic terms especially the sum of several terms which contains the different powers of the same variable. Here, we will find the degree of the polynomial by identifying the highest power of the given expression.

Complete step-by-step answer:
Given expression: $4{x^2} - 3x + 2$
Degree of any polynomial can be defined as the highest power or an exponent of its variable. Here the equation is already in the simplified form and so we can get the degree that is the highest power of the variable.
From the above polynomial it is clear that it is of degree $2$
So, the correct answer is “2”.

Note: Know the difference between the degree and order and apply the concepts accordingly. The order is expressed as the derivative of the highest order present in the equation. Be very careful about the terms and differences for degree and order. Here the equation was already in the simplified form but in case if the expression is having complex powers then first convert it and then identify the highest power.