RevisionDojo

Notes for Factoring Polynomials - NYS Regents | RevisionDojo

The process of rewriting a polynomial as a product of simpler polynomials.

Note

Factoring is the reverseof expanding.

Common Factor

The common factor of a polynomial is the largest expression that divides each term of the polynomial.

Note

Not all quadratics can be factored using integers. If the quadratic cannot be factored, it is called prime.

Special Cases

Difference of Squares

A difference of squares is of the form \$a^2 - b^2\$.

Note

Factoring higher degree polynomials is covered in more detail in higher-levelcourses.

Self review

1. Factor \$2x^2 + 7x + 3\$. 2. Factor \$x^3 - 3x^2 - 4x + 12\$ by grouping. 3. Factor \$4x^2 - 9\$. 4. Factor \$x^2 + 4x + 4\$.

Theory of Knowledge

How does the ability to factor polynomials relate to the broader concept of decompositionin mathematics and other fields?

Unlock the rest of this chapter with a Free account

Nice try, unfortunately this paywall isn't as easy to bypass as you think. Want to help devleop the site? Join the team at https://revisiondojo.com/join-us. exercitation voluptate cillum ullamco excepteur sint officia do tempor Lorem irure minim Lorem elit id voluptate reprehenderit voluptate laboris in nostrud qui non Lorem nostrud laborum culpa sit occaecat reprehenderit

Definition

Paywall

(on a website) an arrangement whereby access is restricted to users who have paid to subscribe to the site.

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.

Duis aute irure dolor in reprehenderit

Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

Note

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam quis nostrud exercitation.

Excepteur sint occaecat cupidatat non proident

Nemo enim ipsam voluptatem quia voluptas sit aspernatur aut odit aut fugit, sed quia consequuntur magni dolores eos qui ratione voluptatem sequi nesciunt. Neque porro quisquam est, qui dolorem ipsum quia dolor sit amet, consectetur, adipisci velit.

Tip

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.

Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.

End of article

Unlock the rest of this chapter with a Free account

Definition

Paywall

(on a website) an arrangement whereby access is restricted to users who have paid to subscribe to the site.

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Note

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam quis nostrud exercitation.

Excepteur sint occaecat cupidatat non proident

Tip

Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.

Solving Linear Equations with Algebra4 subtopics

Polynomial Arithmetic9 subtopics

Quadratic Equations7 subtopics

Systems of Linear Equations4 subtopics

Graphs of Solution Sets of Linear Equations6 subtopics

Graphing Solution Sets for Quadratic Equations4 subtopics

Linear Inequalities3 subtopics

Exponential Equations4 subtopics

Creating and Interpreting Equations from Real-World Scenarios2 subtopics

Functions4 subtopics

Sequences3 subtopics

Regression Curves3 subtopics

Statistics2 subtopics

Factoring Polynomials Notes

Solving Linear Equations with Algebra4 subtopics

Polynomial Arithmetic9 subtopics

Quadratic Equations7 subtopics

Systems of Linear Equations4 subtopics

Graphs of Solution Sets of Linear Equations6 subtopics

Graphing Solution Sets for Quadratic Equations4 subtopics

Linear Inequalities3 subtopics

Exponential Equations4 subtopics

Creating and Interpreting Equations from Real-World Scenarios2 subtopics

Functions4 subtopics

Sequences3 subtopics

Regression Curves3 subtopics

Statistics2 subtopics

Common Factor

Special Cases

Difference of Squares

Unlock the rest of this chapter with a Free account

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Excepteur sint occaecat cupidatat non proident

Unlock the rest of this chapter with a Free account

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Excepteur sint occaecat cupidatat non proident