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 TOPICS This page:   polynomials    Search   Dr. Math See also the Dr. Math FAQ:   cubic and   quartic equations and   order of operations Internet Library:   polynomials HIGH SCHOOL About Math Analysis Algebra    basic algebra    equations/graphs/      translations    linear algebra    linear equations    polynomials Calculus Complex Numbers Calculators/    Computers Definitions Discrete Math    permutations/    combinations Exponents    Logarithms Fibonacci Sequence/   Golden Ratio Fractals Functions Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean    practical geometry    symmetry/tessellations History/Biography Interest Logic Negative Numbers Number Theory Physics/Chemistry Probability Projects Puzzles Sequences/Series Sets Square/Cube Roots Statistics Transcendental   Numbers Trigonometry 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. Using Cardan's Formula to find Real Roots [04/13/2000] How can I show that, although the cubic equation x^3 - 6x = 4 has three real solutions, Cardan's formula can find them by subtracting appropriate cube roots of complex numbers? Visual Representation of (a+b)(a-b) [03/22/2003] Is there a way to model (a+b) * (a-b)? What's His Street Address? How Many Neighbors Does He Have? [09/29/2010] A student struggles with a word problem that asks for specific sums of counting numbers. Three different doctors weigh in with increasingly sophisticated and comprehensive problem-solving approaches: programming spreadsheet formulas; applying combinatorics; and invoking quadratic Diophantine and Pell equations. Why Algebraic Expressions with Parentheses? [03/18/2003] How would you write these algebraic expressions without parentheses? -(2x-3y-6) and -(5x-13y-1). Why Are Remainders Small? [07/06/2016] A teen seeks an explanation for why polynomial division always results in remainders smaller than divisors. With an analogy to integer division, Doctor Peterson clarifies that it's a choice. Why Do We Use Order of Operations? [09/18/2008] Why is it necessary to use order of operations? Why can't you just write a calculation from left to right, so 5+2^3*2 is just 2^3*2+5? Doctor Peterson shows how order of operations makes writing and understanding algebraic expressions quite simple. 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? Why Factor Polynomials? [02/20/1998] Why is factoring polynomials important for our everyday lives? Why FOIL? [11/21/2002] How can I explain to the class the importance of learning FOIL? Zeros of Polynomials [9/24/1996] Given that 1 is a zero of the equation P(x) = x^3-5x^2+17x-13, find all other zeros. Page: [

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