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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.



Factoring a Sum of Squares [10/15/2005]
I do not understand why you cannot factor a sum of two squares, but you can factor a perfect square trinomial.

Factoring a Trinomial [08/26/1997]
How do you reduce 5k^2-13k-6 / 5k+2 to lowest terms?

Factoring a Trinomial [08/22/2003]
What is factoring by grouping? When factoring a trinomial, why is it necessary to write the trinomial in four terms?

Factoring by Grouping [05/27/1998]
How do you factor 2r^2 + rt - 6t^2 ?

Factoring by Grouping [11/24/1997]
Factor the expression by grouping: xy + ay - bx - ab .

Factoring by Grouping to Solve a Polynomial Equation [05/26/2005]
How do I solve an equation like x^3 + 3x^2 - x - 3 = 0 by factoring? I'm having trouble factoring because of the four terms and the x^3.

Factoring Cubic Expressions [08/24/2010]
A student wonders how to factor polynomials of odd degrees. Doctor Ian suggests exponent expansion and prime factorization.

Factoring Equations with Many Variables [12/12/1996]
XY ( X - Y ) + 3Y (X - Y)^2

Factoring in General [12/22/1995]
I have never figured out factoring. I can sort of do it but I don't always get it right. Can you tell me how to factor better?

Factoring into the Product of Two Trinomials [02/22/2003]
Write as a product of two trinomials with integer coefficients: 6x^2 - xy + 23x - 2y^2 - 6y + 20

Factoring Polynomials [11/29/1999]
How can I factor 4x^2 - 36, or x^2 + yz + xy + xz?

Factoring Polynomials [3/14/1995]
I am having trouble factoring polynomials. I would appreciate it if you could show me step-by-step instructions with examples.

Factoring Polynomials [02/08/2003]
Factor: 9y^4 + 12y^2 + 4.

Factoring Polynomials of Degree 2 [4/8/1996]
I am having a lot of difficulties factoring polynomials of the type: x^2 + 6x +8 and 3x^2 + 10x +8.

Factoring Polynomials of Degree 3 [3/17/1996]
Factor completely (x+2)^3 + (x+2)^2.

Factoring Polynomials Using Substitution [09/26/2001]
I can't get two questions on my own: x^2+10xy+25y^2-81z^2 and a^4-6a^ 2b^2-27b^4.

Factoring Polynomials with Common Expressions [08/20/2005]
A neat way to factor polynomial expressions like 8(x-3) - 2(x-3) by taking out a common factor using substitution.

Factoring Quadratics When a Doesn't = 1 [03/24/2003]
A trick to solving quadratics was presented to me. I was wondering if there is a proof for it.

Factoring Quadratic Trinomials [06/02/1998]
Is there a general process I can use to factor equations?

Factoring Trinomials [04/13/2005]
Help on factoring d^2 - 33d - 280 and a general strategy for factoring trinomials.

Factoring Trinomials: 9x^2 - 42x + 49 [10/15/2002]
I am having a lot of trouble factoring this trinomial: 9x^2 - 42x + 49.

Factoring Trinomials by the Grouping Method [12/08/2005]
A discussion and proof of why factoring trinomials by grouping works.

Factoring Trinomials in Quadratic Equations [02/15/2004]
A discussion of several methods of factoring that can be used to solve the quadratic equation 15x^2 - 16x - 7 = 0.

Factoring vs. Simplifying [03/02/2003]
Factor the expression 1+y(1+x)^2(1+xy).

Factoring (x - 1)(x^2 - x - 2) [11/04/1997]
I don't remember how to factor.

Factoring x^4 + (x^2)(y^2) + y^4 [04/25/2005]
Is there any mathematical way or pattern to factor the polynomial x^4 + (x^2)(y^2) + y^4?

Factorization [03/17/1999]
Can you help me simplify 9b^2 - 24bc + 16c^2?

Find a Pair of Factors of AC Whose Sum is B [04/12/2002]
When I was a freshman, I was taught a method called A C Bust B, but I can't remember it.

Finding a Single Pair of Factors [02/27/2002]
Factor ax^2 - bx - c.

Finding the Greatest Common Factor (GCF) [03/31/1998]
I need help finding the GCF of terms that include both numbers and exponential variables.

Finding the Sum of Solutions of a Polynomial Equation [03/11/2004]
What is the sum of the solutions of x^3 + 2x^2 - 5x - 6 = 0 given that x = 2 is a solution?

Fractions and Lowest Terms [07/19/2001]
Simplifying expressions: how do you finish cancelling fractions, and then what do you multiply? What is the lowest term?

General Sign Patterns for Factoring Trinomials [04/12/2005]
How do the signs in the trinomial help tell you what signs will be in each of the two binomials when it's factored?

Multiplying Algebraic Fractions [11/05/2002]
Factoring quadratic expressions to get binomials that cancel.

No Difference of Squares [02/08/1997]
Factor 180x^2y - 108xy^2 -75x^3.

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)] ?

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