Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Multiplying Polynomials

College Algebra

0. Review of Algebra

Multiplying Polynomials

0:52 minutes

Problem 4

Textbook Question

Fill in the blank to correctly complete each sentence. In the term -6x^2y, -6 is the ______.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Coefficient

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. In the term -6x^2y, the coefficient is -6, which indicates the quantity by which the variable terms x^2 and y are scaled. Coefficients can be positive or negative, affecting the overall sign and magnitude of the term.

Algebraic Term

An algebraic term is a single mathematical expression that can consist of numbers, variables, and exponents. In the expression -6x^2y, the entire term represents a product of the coefficient -6 and the variables x^2 and y. Understanding terms is fundamental in algebra as they form the building blocks of more complex expressions and equations.

Variables

Variables are symbols used to represent unknown values in mathematical expressions and equations. In the term -6x^2y, x and y are variables that can take on different values, allowing for the expression to represent a range of quantities. The use of variables is essential in algebra for formulating general rules and solving problems.