Math Problem Statement

What kind of polynomial is c(1-3x)

Solution

The expression c(13x)c(1 - 3x) can be considered a linear polynomial, assuming cc is a constant.

Here’s why:

  1. Expand the expression: c(13x)=c3cxc(1 - 3x) = c - 3cx
  2. The result is c3cxc - 3cx, which is a polynomial of degree 1 because the highest power of xx is 1 (from the term 3cx-3cx).

Therefore, the expression c(13x)c(1 - 3x) is a linear polynomial, because it has the general form ax+bax + b, where a=3ca = -3c and b=cb = c.

Do you need further clarification or details on this? Here are some related questions you might find useful:

  1. How can we determine the degree of a polynomial?
  2. What is the difference between linear and quadratic polynomials?
  3. How do we factorize linear polynomials?
  4. What is the significance of the constant cc in the polynomial?
  5. How do we graph linear polynomials?

Tip: A linear polynomial always results in a straight line when graphed.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Linear Polynomials

Formulas

Linear polynomial form ax + b

Theorems

Degree of a polynomial

Suitable Grade Level

Grades 7-9