Related Topics:

Common Core (Algebra)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn to use the structure of an expression to identify ways to rewrite it. *For example, see x ^{4} – y^{4} as (x^{2})^{2} – (y^{2})^{2}, thus recognizing it as a difference of squares that can be factored as (x^{2} – y^{2})(x^{2} + y^{2})*.

- Use factoring techniques such as common factors, grouping, the difference of two squares, the sum or difference of two cubes, or a combination of methods to factor completely.
- Simplify expressions including combining like terms, using the distributive property and other operations with polynomials.

Common Core: HSA-SSE.A.2

The following diagram shows a factoring technique called factor by grouping. Scroll down the page for more examples and solutions.

Factor by Grouping and Factoring Completely.

Factor 4x^{2} + 25x - 21

Factor 6x^{2} + 7x + 1

Factor -x^{3} + 17x^{2} - 70x

Factoring Trinomials: Factor by Grouping - ex 1.

Factor 12x^{2} + 34x + 10

Factoring Trinomials: Factor by Grouping - ex 2.

Factor 6x^{2} + 15x - 2

Factoring Trinomials: Factor by Grouping - ex 3.

Factor - 8x^{2} + 60x - 28

Factoring by Grouping (4 terms) - Ex 1.

a) 2x^{3} + 7x^{2} + 2x + 7

b) 10x^{2} + 2xy + 15xy + 3y^{2}

Factoring by Grouping (4 terms) - Ex 2.

12x^{2} + 15uv + 24uv^{2} + 30v^{3}

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.