Concept explainers
To fill: The blank in the following statements,
How many terms does this polynomial have?
List the terms:
Which factor is common to each term?
Factor the polynomial:
Answer to Problem 1E
The complete statements are,
How many terms does this polynomial have?
List the terms:
Which factor is common to each term?
Factor the polynomial:
Explanation of Solution
Given information:
The polynomial
Consider the provided polynomial
Number of terms in a polynomial is the number of terms separated by mathematical operations.
Here, the terms are separated by addition sign between three expressions, so, the given polynomial contains 3 terms.
The terms in the polynomial are the ones which are separated by addition sign between them,
So, the polynomial contains the following terms,
The greatest common factor to these terms is
Recall that to factorize a polynomial, take the common factor out and simplify it.
So,
Thus, the complete statements are,
How many terms does this polynomial have?
List the terms:
Which factor is common to each term?
Factor the polynomial:
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning