Engineering↗
Cubic and Higher-Degree Equations
Finding one root, dividing it out, and finishing with the quadratic that remains - plus what to do when the cubic has no rational root.
Tag
roots
Every page in the KEVOS library tagged roots. 9 pages.
Engineering↗
Fractional Exponents and Radicals
Why x1/2 must mean sqrt(x), how n-th roots and fractional powers are the same thing, when a root is not a real number, and why (x6)1/2 is abs{x3} rather than x3.
Engineering↗
The Quadratic Formula and the Discriminant
The formula that solves every quadratic, what b2 - 4ac tells you before you compute anything, and the three cases it distinguishes.
Engineering↗
The Remainder and Factor Theorems
Why the remainder on dividing by x - a is exactly f(a), how that turns into a factor test, and how the two together factor a cubic without guesswork.
Engineering↗
Complex Numbers, Roots of Unity and Cyclotomic Polynomials
Handbook guide to complex numbers, roots of unity, with definitions, key results, methods, verification checks and worked examples.
Engineering↗
Polynomial Rings: Division, Roots and Interpolation
Handbook guide to polynomial rings: division, roots and interpolation with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Quadratic Equations by Square Roots and the Quadratic Formula
Handbook guide to quadratic equations by square roots and the quadratic formula, with rules, worked examples, verification, common errors and practical.
Engineering↗
Quadratic Formula: Solving General Quadratic Equations
Use the quadratic formula for ax²+bx+c=0, identify coefficients correctly, simplify the discriminant and interpret resulting roots.
Engineering↗
Solving Quadratic Equations by Factoring
Solve quadratic equations by arranging them equal to zero, factoring completely and applying the zero-product property.
Related
Other tags in the library.
mathematics 387
abstract algebra 252
Machine Design 184
business 179
project management 158
Computational Number Theory 123
algebra handbook 85
graduate mathematics 85
handbook 79
templates and examples 78
History of Engineering 77
Manufacturing 76
algebra and trigonometry 74
universal algebra 62
algebra 60
project delivery 60
principles of project management 58
advanced algebra 53
Fasteners and Joints 53
Civil Engineering 48
CAD 42
Context and scope 42
Machine Elements 40
Threading and Gaging 37
Mechanical Engineering 35
Power Transmission 34
template 34
Operational Excellence 32
example 31
project leadership 31
project teams 31
strategy 31
Business Expansion 29
Metrology 29
project management research 29
Sales & Marketing 29
personal development 27
behaviour change 26
habits 26
systems 26