To Factor: The given polynomial into linear factors.
The linear factor of the polynomial
Given:
Calculation:
To factor the trinomial
The GCF of the polynomial is
Factor out the common term from the equation
Now, multiply the leading coefficient by the constant.
So, the product from the polynomial equation
And, the sum from the polynomial equation
The number of factor pairs of product
are:
Factor pairs | Sum |
The pairs are
Replace the middle terms using the factor pairs and rewrite
Apply the distributive property:
Now, write the factored form for
So, the factors are:
By using the FOIL method, check the factored form:
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- 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