• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Solutions - BrainMass
Solutions - BrainMass

... 2) Using the factoring method, solve for the roots of each equation. Place equation in standard form before factoring. Check your solutions and show the check. 4x2 + 3x = 4x Solution: Given our equation as : 4x2 + 3x = 4x Subtract 4x on both sides. ...
Section 2.2
Section 2.2

... Matrix Inverse In its most basic form a matrix A has an inverse if there is a matrix B such that AB  BA  I and if this matrix B exists at all then we label it B  A −1 Theorem 4 hints at a future method to determine if a matrix has an inverse or not. There is a function called the determinant that ...
Complex Numbers - cloudfront.net
Complex Numbers - cloudfront.net

The Ring Z of Integers
The Ring Z of Integers

TEST CODE: MIII (Objective type) 2011 SYLLABUS
TEST CODE: MIII (Objective type) 2011 SYLLABUS

... 10. Consider the polynomial x5 + ax4 + bx3 + cx2 + dx + 4 where a, b, c, d are real numbers. If (1 + 2i) and (3 − 2i) are two roots of this polynomial then the value of a is (A) −524/65 ...
1. Introduction A fundamental problem in statistical and solid
1. Introduction A fundamental problem in statistical and solid

... Our proof of Theorem 1.1 relies on the discrete differential geometry approach introduced recently by us in [3]. In [3] we used this approach to give a new proof of the Heitmann-Radin crystallization theorem; here we employ it to settle the uniqueness question. This approach starts by associating, t ...
Solving Quadratics by Graphing
Solving Quadratics by Graphing

Math 311 Final Problem Set – Solution December 2002
Math 311 Final Problem Set – Solution December 2002

Part 3: Cubics, Trigonometric Methods, and Angle
Part 3: Cubics, Trigonometric Methods, and Angle

Solutions - Missouri State University
Solutions - Missouri State University

Garrett 03-30-2012 1 • Interlude: Calculus on spheres: invariant integrals, invariant
Garrett 03-30-2012 1 • Interlude: Calculus on spheres: invariant integrals, invariant

... On the other hand, looking at the td−1 term in the harmonic-ness relation, ...
A continuous
A continuous

PDF
PDF

2 Congruences
2 Congruences

Lecture Notes on Primality Testing
Lecture Notes on Primality Testing

INTRODUCTION TO C* ALGEBRAS - I Introduction : In this talk, we
INTRODUCTION TO C* ALGEBRAS - I Introduction : In this talk, we

Thinking Mathematically - Marquette University High School
Thinking Mathematically - Marquette University High School

ON THE BITS COUNTING FUNCTION OF REAL NUMBERS 1
ON THE BITS COUNTING FUNCTION OF REAL NUMBERS 1

even, odd, and prime integers
even, odd, and prime integers

Chapter 0 – Section 05
Chapter 0 – Section 05

HANDOUT 2, MATH 174, FALL 2006 THE CHEESE CUTTING
HANDOUT 2, MATH 174, FALL 2006 THE CHEESE CUTTING

ppt - Pacific University
ppt - Pacific University

(x). - Montville.net
(x). - Montville.net

... A. List all possible rational zeros of f(x) = x3 – 3x2 – 2x + 4. Then determine which, if any, are zeros. Step 1 Identify possible rational zeros. Because the leading coefficient is 1, the possible rational zeros are the integer factors of the constant term 4. Therefore, the possible rational zeros ...
Chapter 1 Powerpoint
Chapter 1 Powerpoint

2.9.2 Problems P10 Try small prime numbers first. p p2 + 2 2 6 3 11
2.9.2 Problems P10 Try small prime numbers first. p p2 + 2 2 6 3 11

... The condition in the problem is the same as saying that every prime number p divides m. This can happen only if m = 0, that is, only if n = 1. Hence n = 1 is the only positive integer with the given property. P15 We try to find a pattern. ...
< 1 ... 271 272 273 274 275 276 277 278 279 ... 480 >

Fundamental theorem of algebra

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with an imaginary part equal to zero.Equivalently (by definition), the theorem states that the field of complex numbers is algebraically closed.The theorem is also stated as follows: every non-zero, single-variable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly n roots. The equivalence of the two statements can be proven through the use of successive polynomial division.In spite of its name, there is no purely algebraic proof of the theorem, since any proof must use the completeness of the reals (or some other equivalent formulation of completeness), which is not an algebraic concept. Additionally, it is not fundamental for modern algebra; its name was given at a time when the study of algebra was mainly concerned with the solutions of polynomial equations with real or complex coefficients.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report