Chapter 8, Problem 3SGR

To determine

To state whether the statement is true or false

Answer to Problem 3SGR

True

Explanation of Solution

Given:

Statement: $4x^2-2x+7$ is a polynomial of degree 2.

Concept used:

Degree of an expression is the highest power of the terms in the expression.

Consider the given expression,

  $4x^2-2x+7$

In the given expression, the degrees of each terms as shown in the table below.

Term	Degree of the term
$4x^2$	2
$-2x$	1
$7$	Constant

Therefore, the highest degree in the given expression is 2.

Conclusion:

Therefore, the expression is of degree 2.