Math Problem Statement

List the numerical coefficient of each term in the expression 7x^3 - 2x^2 + x.

Solution

The given expression is:

7x32x2+x7x^3 - 2x^2 + x

Let's list the numerical coefficients of each term:

  1. For 7x37x^3, the coefficient is 7.
  2. For 2x2-2x^2, the coefficient is -2.
  3. For xx (which can be written as 1x1x), the coefficient is 1.

So, the numerical coefficients are:

7,2,17, -2, 1

Would you like further details or explanations on this?

Here are five related questions to expand on this topic:

  1. What is a coefficient in an algebraic expression?
  2. How do you find the degree of a polynomial?
  3. Can a term have no coefficient? What would it mean?
  4. How do coefficients affect the shape of a graph of a polynomial function?
  5. How do you combine like terms with different coefficients?

Tip: Always look for the sign in front of a term when identifying the coefficient—it determines whether it's positive or negative.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Expressions
Coefficients

Formulas

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Theorems

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Suitable Grade Level

Grades 7-8