UPSC Exam > UPSC Questions > Mind map on polynomials lesson and also provi...
Start Learning for Free
Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson?
Most Upvoted Answer
Mind map on polynomials lesson and also provide mind map for a pair of...
Mind Map on Polynomials
Polynomials are algebraic expressions that consist of variables and coefficients. Understanding polynomials aids in solving a variety of mathematical problems.
Mind Map on Pair of Linear Equations in Two Variables
A pair of linear equations consists of two equations with two variables. Solving these equations helps in understanding relationships between variables.
Polynomials are algebraic expressions that consist of variables and coefficients. Understanding polynomials aids in solving a variety of mathematical problems.
- Definition: An expression formed by the sum of terms, each consisting of variables raised to non-negative integer powers and multiplied by coefficients.
- Components:
- Terms: Individual parts of a polynomial (e.g., 3x², -5x).
- Coefficient: Numerical factor in a term (e.g., 3 in 3x²).
- Degree: Highest power of the variable in the polynomial.
- Types of Polynomials:
- Monomial: One term (e.g., 7x).
- Binomial: Two terms (e.g., 3x + 5).
- Trinomial: Three terms (e.g., x² + 2x + 1).
- Operations:
- Addition: Combine like terms.
- Subtraction: Subtract coefficients of like terms.
- Multiplication: Use distributive property.
- Division: Polynomial long division or synthetic division.
- Applications: Used in algebra, calculus, and real-world problems like physics and economics.
Mind Map on Pair of Linear Equations in Two Variables
A pair of linear equations consists of two equations with two variables. Solving these equations helps in understanding relationships between variables.
- Definition: Two equations that represent straight lines in a two-dimensional space.
- Standard Form: Ax + By = C, where A, B, and C are constants.
- Methods of Solving:
- Graphical Method: Plot both equations on a graph to find the intersection point.
- Substitution Method: Solve one equation for one variable and substitute into the other.
- Elimination Method: Add or subtract equations to eliminate one variable.
- Types of Solutions:
- Unique Solution: Lines intersect at one point.
- No Solution: Lines are parallel and never intersect.
- Infinite Solutions: Lines coincide.
- Applications: Used in economics, engineering
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson?
Question Description
Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson?.
Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson?.
Solutions for Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson? defined & explained in the simplest way possible. Besides giving the explanation of
Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson?, a detailed solution for Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson? has been provided alongside types of Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson? theory, EduRev gives you an
ample number of questions to practice Mind map on polynomials lesson and also provide mind map for a pair of linear equations in two variables lesson? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup