Coefficient
Definition
A coefficient is a numerical or constant factor that multiplies a variable in an algebraic expression. It indicates how many times the variable is taken into account.
5 Must Know Facts For Your Next Test
- In the expression 5x, 5 is the coefficient.
- Coefficients can be positive, negative, or zero.
- In a term with multiple variables, like 3xy, 3 is still the coefficient.
- If a variable has no visible coefficient, it is understood to be 1.
- Coefficients help determine the slope in linear equations and play a crucial role in polynomial expressions.
Review Questions
- What is the coefficient in the term -7y?
- Explain why the coefficient of x in 4x^2 + x + 6 is considered to be 1.
- How does changing the coefficient affect a linear equation?
"Coefficient" appears in:
Related terms
Variable: A symbol (usually a letter) that represents an unknown number or value.
Constant: A fixed value that does not change.
Term: A single mathematical expression consisting of coefficients and variables.
