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 TOPICS This page:   factoring    Search   Dr. Math See also the Dr. Math FAQ:   learning to factor MIDDLE SCHOOL About Math Algebra    equations    factoring expressions    graphing equations Arithmetic    division    exponents    factorials    factoring numbers    fractions/percents    logarithms Definitions Geometry    2-dimensional      conic sections/        circles      triangles/polygons    3D and higher      polyhedra History/Biography Logic Measurement    calendars/      dates/time    temperature    terms/units Number Sense    factoring numbers    negative numbers    pi    prime numbers    square roots Probability Puzzles Ratio/Proportion Statistics Word Problems Browse Middle School Factoring Expressions Stars indicate particularly interesting answers or good places to begin browsing. Factoring just numbers? Try Middle School Factoring Numbers. Dividing with Algebra [3/25/1996] I need help factoring and reducing this problem: (3x-9)/(2x-6)=? and (x2+2xy)/ 3x+6y)=? Explaining Algebra Concepts and FOIL [08/04/1998] Some ideas for learning algebra that may help prevent frustration. Factoring Examples [12/16/1996] How do you factor x(x+1)(x-4) + 4(x+1)? (and other similar examples). Factoring in the Face of the Quadratic Formula [02/25/2014] A teen who already solves quadratics with the quadratic formula wonders why we bother learning to factor. Doctor Peterson outlines several motivations that make the skill worthwhile. Factoring Polynomials [11/07/2001] Factoring polynomials like 12x^3y^9 + 20x^5y^4. Factoring Polynomials [11/16/1994] I need an easy method for understanding factoring polynomials, especially with exponents, and also quadratic equations. Factoring Quadratics Without Guessing [05/28/2002] When factoring quadratic equations, do you always have to use guess and check, or is there another way to do it? Factoring Rules [6/28/1996] Is there a clear set of factoring rules or procedures? Factorization by Decomposition and the Distributive [04/24/2015] An adult familiar with how to factor a quadratic with leading coefficient other than one wonders why the technique works. Doctors Rick and Peterson reveal the proportional reasoning behind it all. How to Factor [7/25/1996] I have forgotten how to factor - could you give me an example and an explanation? Solving for X [5/14/1996] Please show me each step to solving X in the equation X^2 - 7X + 10 = 0. Solving Quadratic Equations [2/15/1996] A student asks for help in solving quadratic equations by factoring. Two Methods of Factoring Quadratics [04/14/1998] Could you describe how to factor quadratic trinomials? What is Factoring? [01/17/1998] How do you factor x^2 + 5x + 4 ? Algebra: Factoring Fractions [07/30/1997] Question: 8ab/4a2-b2 divided by 16b2/8a2-4ab. Algebra for Equivalence [11/12/2011] A teacher's warning about algebraic manipulations troubles a student. With simple examples, Doctor Peterson shows how dividing by a variable may destroy solutions, how taking roots may introduce extraneous ones, and how factoring makes both more explicit, all while emphasizing caution with assumptions. Are Binomial Factors Unique? [04/22/2003] Let's say I factor x^2 - 5x + 6 into (x-2)(x-3). Is it possible that it could be factored another way as well, using numbers other than 2 and 3? Cancelling Algebraic Fractions [11/11/2002] I don't understand how to cancel algebraic fractions. Completing the Square: How Does it Work? [01/20/1999] Can you explain why completing the square works? How exactly do you do it? Difference between Two Cubes [11/09/2001] Factoring a^3 - b^3. Difference of Squares of Two Integers [7/2/1996] Which positive integers can be written as the difference of the squares of two integers? Difference of Two Squares [09/04/2002] I understand how to get the difference of two squares but how would you get the equation when you have the answer? The Discriminant of Quadratic Equations [08/06/1998] Can you explain more about the discriminant, b^2 - 4ac? Why is it sometimes represented by a triangle (delta)? Distributive Double Duty [04/05/2016] A teen seeks to solve a single-variable equation without computing the common denominator of its many fractions. Doctor Greenie reveals a pattern and provides a shifty hint, then applies the distributive property twice to easily deduce the solution. Equations and Factoring [2/5/1996] Solve. Identify all double roots: 2(r^2 + 1)=5r Factor 6x^2 + 12x [06/23/2003] Factoring as finding things in common. Factor and Multiply to Check [5/21/1996] Is x to the second power plus 6x plus 5 factorable? Factor and Simplify [4/10/1996] How would you simplify the following problem? (1/x^2- 1/y^2)/(1/x^2+2/xy+1/y^2) Factor for X; Consecutive Odd Integers [01/19/1998] (x-2)(x+3) = 6 : solve by factoring for x. Label your variables, write an equation, solve, label answers... Factoring [12/03/2001] This problem is giving me a hard time: 6x^2 + 31x + 5. Factoring [9/5/1995] How do I solve x^2+x-12 = 0? Factoring 5x^2 + 2x -1 [01/22/2001] I can't figure out how to factor this: 5x^2 + 2x -1. The best I can do is: (5x+1)^2 + 2(x-1). Factoring 8 - t^3 [01/07/1998] Factor the given expression completely: 8 - t^3. Factoring a Difference of Squares with Terms That Are Not Monomials [10/26/2008] How can I factor something like (3x + 2)^2 - (x - 4)^2 using the formula for a difference of squares? I'm confused because the expressions being squared are not monomials. Factoring a Fifth-Degree Polynomial [08/15/2002] Simplify: x^5+x^4-4x^3-4x^2 over x^5+4x^4+4x^3. Factoring Algebraic Expressions [6/15/1996] Factor (xy+1)(x+1)(y+1)+xy and ... Factoring and the Factor Theorem [09/28/1998] I need help factoring x^3 - x^2 + x - 2 = 4. Factoring an Equation [11/13/1995] From 7y^3 + 14y^2 - 7y, I can factor out the 7y to get 7y(y^2 + 7y - 1). Can I factor any further? Factoring an Equation [3/11/1996] If you have the equation: x^2 * 2x+3 = 0, how do you factor it? Factoring an Expression [8/5/1996] How can I factor x^10+x+1? Page:  1  2  3 [next>]

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