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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: (3x9)/(2x6)=? 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)(x4) + 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/4a2b2 divided by 16b2/8a24ab.
 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 (x2)(x3). 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 singlevariable 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]

(x2)(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+x12 = 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(x1).
 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 FifthDegree Polynomial [08/15/2002]

Simplify: x^5+x^44x^34x^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?
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