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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. Nonlinear Factors [10/12/1998] I have been told that factoring the sum of two squared numbers is not possible, but factoring x^4 + 4 is possible. Please explain. Polynomial Factoring Rules [04/02/1997] How do I apply the polynomial factoring rules to t^21+1 and 25y^2-144 = 0? Quadratic Roots [4/11/1996] I need to know why a quadratic equation cannot have one irrational or one imaginary root. Reducing Algebraic Fractions by Cancelling [03/16/2004] When reducing fractions, how come you can cancel factors but you can't cancel terms? Can you please explain, hopefully with examples too? Reducing Polynomials to Lowest Terms [11/18/2002] How do I reduce the following: [(x^3+x)/5] [(5x-5)/(x^3-x)] ? Roots of an Equation [4/16/1996] We can factor our equation to (3x+2)(2X-1) but we're not sure what to do now to solve it to two numbers. Roots of the Quadratic Equation [4/10/1996] Would you explain to me why a quadratic equation cannot have one irrational or one imaginary root. Simplifiying Rational Expressions [11/29/2004] How do I simplify an expression like this? ``` x + 2 x -------- - ------------- x^2 - 36 x^2 + 9x + 18 ``` Solve by Factoring [3/13/1995] We are doing a section on Solving Equations by Factoring. Could you help me with 3w^2 + 40w - 25 = 20 - 2w^2 ? Solving a Perfect Square Trinomial [05/11/1998] How do I factor this kind of problem: m^2 - 4m + 4 - n^2 + 6n - 9? The Steps of Factoring [08/08/1998] I'm having trouble factoring y^2 - 14y + 24. The problem says to write factors of the first term, the signs of the terms, .... Three Factoring Techniques for Quadratic Polynomials [02/21/2008] How can I factor 40x^2 + 31x + 6? I have trouble when the first number is something big, like 40. Trinomials Squares of Binomials [04/10/2003] Is the trinomial x squared -2x + 1 the square of a binomial? 'Un Distributing' Polynomials [01/11/2003] How can you factor: y^4 + 14y^2 + 49 - x^2 ? Visual Representation of (a+b)(a-b) [03/22/2003] Is there a way to model (a+b) * (a-b)? Why Factor? [08/18/2001] I've been explained the how's, the where's, the what's, but not the WHY. What is the practical use of factoring? Page: [

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