From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Natural Numbers Problem (Murray) 5/12/95
How would you prove that one added to the product of four consecutive natural numbers is a perfect square?
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Cube and Square Roots (Ramser) 3/1/95
What is the sum of the cubes of the roots of 3x^3 + 4x + 2 = 0, and simplify sqrt(3-sqrt(5))/(sqrt(2) + sqrt(7-3sqrt(5))?
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Long Division of Polynomials (Parrill) 6/26/95
How do you use long division to solve polynomials with remainders?
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Hints for Algebra 101 (Pudggy) 7/31/95
Do you have any helpful hints for algebra 101?
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Polynomial Inequality Problem (Zangla) 2/7/96
A student asks for help with solving algebraic inequalities.
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Factoring with 3 Variables (Fibranz) 4/8/96
This one has been frustrating. Factor: 9a^2+4bc-4c^2-b^2
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Polynomial Brain-Twisters (Howard) 12/4/95
I'm stumped on some similar polynomial problems...
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Completing the Square (Robert) 5/22/96
How do you complete the square of a polynomial?
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Factor and Multiply to Check (Jenkins) 5/21/96
Is x to the second power plus 6x plus 5 factorable?
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Solving Quadratic Equations (Slab) 5/23/96
5x+x(x-7)= 0
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Factoring Quadratic Equations (Betz) 5/27/96
What's the fastest way to solve any type of quadratic equation?
From Ask Dr. From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Factoring Fractions (Paulus) 12/7/95
A student asks how to divide (12ax + 16x) by (4x).
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Simplifying Polynomials (Robkin) 4/26/96
How do you simplify polynomials?
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Teaching Synthetic Division (Kenyon) 10/23/96
Do you have any advice for teaching synthetic division, on the computer, to the rest of my class?
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Cardan's Cubic Method (Messer) 7/19/96
Cardan's well known formula solution of cubic equation
x^3 - 3x^2 - x - Sqrt[2] = 0 gives us a single 'monstrous' algebraic
real root which appears to defy further simplification....
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Cubic Equations (Vitolo) 12/8/94
In calculus, we were looking for the solutions for a third degree polynomial equation. Using my TI-85 to find the solutions, I stumbled upon an interesting observation. Given a cubic of the form ax^3 + bx + c, the absolute value of the sum of any two zeros seems to be equal to the absolute value of the third. However, I have so far been unable to give a general proof.
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Cubic Polynomial (Lanaya) 6/27/96
Show that the graph of every cubic polynomial has a point of symmetry.
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Nonreal Roots (Thompson) 2/12/96
What's a good way of presenting nonreal roots of systems of equations? Would you use a 3d graph with i as the z axis?
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Factoring polynomials (Muscovitch) 11/16/94
I need an easy method for understanding factoring polynomials, especially with exponents, and also quadratic equations.
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Factoring Polynomials (Mody) 3/14/95
I am having trouble factoring polynomials. I would appreciate it if you could show me step-by-step instructions with examples.
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Factoring an Equation (Ishmael) 11/13/95
Factor 7y^3 + 14y^2-7y. I factor out the 7y. 7y(y^2 + 7y-1). Then I factor first the and last numbers. 1*1 = 1 factor 1 = 1*1. Can I factor any further?
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Factoring Equations with Many Variables (Vli) 12/12/96.html
XY ( X - Y ) + 3Y (X - Y)^2
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Factoring in General (Shining) 12/22/95
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?
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Equations and Factoring (Zangla) 2/5/96
Solve. Identify all double roots: 2(r^2 + 1)=5r
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Factoring Polynomials of Degree 3 (Rounthwaite) 3/17/96
Factor completely (x+2)^3 + (x+2)^2.
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Factoring Polynomials of Degree 2 (Chung) 4/8/96
I am having a lot of difficulties factoring polynomials of the type: x^2 + 6x +8 and 3x^2 + 10x +8.
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Help with Factoring (Brodenet) 4/14/96
I've just started and can't figure out a logical way to get the hang of factoring.
From Ask Dr. Math, a Forum special outreach project (middle school collection)
- Solving for X (Chongchit) 5/14/96
Please show me each step to solving X in the equation X^2 - 7X + 10 = 0.
From Ask Dr. Math, a Forum special outreach project (high school collection)
- How to Factor (Louie) 7/25/96
I have forgotten how to factor - could you give me an example and an
explanation?
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Complex Roots (Scott) 11/1/94
We know it is possible to look at the graph of a polynomial and tell a great deal about its real roots by looking at the x-intercepts. What can be discovered about a polynomial's complex roots by looking at the graph? There seem to be some interesting 'wiggles' at locations that appear to be related to the 'average' of the complex pairs. It appears that the 'wiggle' of these graphs is always influenced by the complex roots. What we are trying do is develop a graphing technique that will let us find the complex roots from the real graph. (Contributions by Profs. Conway and Maurer.)
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Formula for Finding Roots (Thompson) 1/20/95
I need to know the formula for finding the roots of any quadratic, cubic, or quartic polynomial.
From Ask Dr. Math, a Forum special outreach project (high school collection)
- I'd like help with long division of polynomials (Mody) 3/4/95
(x^4+4y^4)/(x^2-2xy+2y^2). Please show me carefully, step by step!
From Ask Dr. Math, a Forum special outreach project (high school collection)
- How to Factor Polynomials (Mody) 3/14/95
Hi, I am having trouble factoring the following polynomials: 6a^2y^2+5ay^2-6y^2 and 3ax^2+7ax+2a
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Three Polynomial Questions (Sharpe) 8/7/95
Three interesting polynomial questions from a past trial HSC paper...
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Polynomial Problems (Howard) 12/4/95
1. Let m,n and o be the 3 distinct roots of x^3 + ax + b = 0. 2. Compute (m-n)^2(n-o)^2(o-m)^2 in terms of a and b.... 3. Solve 2x^3 - 3x^2 + 1 = 0....
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Factoring a Degree 2 Polynomial (Brandon) 3/21/96
Questions like x^2 - 12x - 85 I don't get these factor things!
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Solving Polynomials (Lisa) 6/16/96
(x^2 + 2x)/3 + 3/(x^2 + 2x) = 26/5
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Polynomial Roots (Handel) 6/20/96
Is there a reliable method to find polynomial roots?
From Ask Dr. Math, a Forum special outreach project (high school collection)
- Binomial Expansions and Pascal's Triangle (Fama) 7/10/96
What are binomial expansions and where can they be used?
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