In the polynomial expression 4x^3 - 2x^2 + x - 5, which term is the constant ter

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Question: In the polynomial expression 4x^3 - 2x^2 + x - 5, which term is the constant term?

Options:

Correct Answer: -5

Solution:

The constant term in a polynomial is the term that does not contain any variables, which in this case is -5.

In the polynomial expression 4x^3 - 2x^2 + x - 5, which term is the constant term?

In the polynomial expression 4x^3 - 2x^2 + x - 5, which term is the constant term?

Step 1: Look at the polynomial expression: 4x^3 - 2x^2 + x - 5.
Step 2: Identify the different terms in the expression. The terms are 4x^3, -2x^2, x, and -5.
Step 3: Understand that a constant term is a number that does not have a variable (like x) attached to it.
Step 4: Check each term to see if it has a variable. The terms 4x^3, -2x^2, and x all have the variable x.
Step 5: The term -5 does not have any variable attached to it, so it is the constant term.

Polynomial Terms – Understanding the structure of polynomial expressions, including identifying constant, variable, and coefficient terms.
Constant Term – Recognizing that the constant term is the term in a polynomial that does not include any variable.