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Browse High School Polynomials
Stars indicate particularly interesting answers or
good places to begin browsing.
Selected answers to common questions:
Completing the square.
Quadratic equations.
 Factoring a Degree 2 Polynomial [3/21/1996]

Questions like x^2  12x  85 I don't get these factor things!
 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 a Multivariate Polynomial: Strategies Beyond Grouping [11/11/2008]

Several doctors respond to the challenge of factoring the polynomial
x^3 + y^3 + z^3  3xyz by hand, each contributing insights into how
properties such as symmetry and homogeneity help with factorization
methods generally.
 Factoring and the Factor Theorem [09/28/1998]

I need help factoring x^3  x^2 + x  2 = 4.
 Factoring an Expression [8/5/1996]

How can I factor x^10+x+1?
 Factoring another Equation [11/14/1995]

40y squared + yz  6z squared?
 Factoring a Trinomial [08/26/1997]

How do you reduce 5k^213k6 / 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 Cubic Polynomials [01/01/2002]

I have a lot of trouble factoring cubic polynomials like 10^33x^2x=
f(x). What does it mean to factor a polynomial into "linear factors"?
 Factoring Expressions [01/19/1997]

Factor 3x21, 5x^2y15xy^2, 18x^227x, and 2a8b10.
 Factoring Polynomials [11/07/2001]

Factoring polynomials like 12x^3y^9 + 20x^5y^4.
 Factoring Polynomials [11/29/1999]

How can I factor 4x^2  36, or x^2 + yz + xy + xz?
 Factoring Polynomials Using Substitution [09/26/2001]

I can't get two questions on my own: x^2+10xy+25y^281z^2 and a^46a^
2b^227b^4.
 Factoring Polynomials with Common Expressions [08/20/2005]

A neat way to factor polynomial expressions like 8(x3)  2(x3)² by
taking out a common factor using substitution.
 Factoring Quadratics [03/05/1998]

Factoring quadratics that occur in fractions.
 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 Quartics [9/4/1996]

Can you help me factorize f(x) = x^4  6x^3 + 11x^2  6x + 1 and solve
f(x) = 0?
 Factoring Trinomials [02/24/2002]

My teacher gave me a method for factoring trinomials (ax^2 +bx +c). It's
not FOIL or the grouping method, though the first part is similar. What's
the logic/reason behind this method?
 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  Difference of Two Squares [12/22/1997]

How do I factor a perfectly square trinomial and a quadratic trinomial?
 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 Trinomials with a Slippery Technique [01/31/2017]

An adult wonders how his teacher halved one term of a trinomial while doubling
another, all in the same algebraic step — and still wound up with the correct
roots. Entering multiple caveats along the way, Doctor Peterson introduces him to "slip
and slide" factorization.
 Factoring Trinomials With Prime Factors [05/16/2002]

Factor each trinomial using integers, if possible.
 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?
 Finding a Single Pair of Factors [02/27/2002]

Factor ax^2  bx  c.
 Finding Coefficients of Simultaneous Equations [06/24/1998]

The equations ax^4 + bx^3 + c = 0 and cx^4 + bx^3 + a = 0 have a common
root. Find all possible values of b, if a + c = 100.
 Finding Polynomials [04/29/1997]

Given a set of points, find the polynomial that fits them.
 Finding Roots of Polynomials with Complex Numbers [09/27/2001]

I read in the archives that you can find the roots of 3rd or higher
degree polynomials with complex numbers...
 Finding Terms in a Binomial Expansion [03/27/2001]

How can I find the fifth term of (5m+4n^3)^54?
 Finding the Roots of a Function [11/4/1996]

How do you find the positive roots of x^9+3x^85x^3+4x+6=0? Show that
x^n 1=0 has exactly 2 roots if n is even, and only 1 real root if n is
odd
 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?
 Finding Zeros of Polynomials [11/13/2001]

Can you explain how to find the zeros of polynomials and give me an
example of an application?
 Find the Edge Lengths of a Cuboid [05/13/2003]

I am trying to discover the lengths of the edges of a cuboid when only
the diagonal, area, and volume are known.
 Find Values of x... [9/4/1996]

Determine all values of x for which (x^25x+5)^(x^22x48)=1.
 The FOIL Method and Multiplying Polynomials [05/25/2008]

How do I multiply (d  4)(d + 3) using the FOIL method?
 Formula for Finding Roots [1/20/1995]

I need to know the formula for finding the roots of any quadratic, cubic,
or quartic polynomial.
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