Nature of roots

How to Evaluate Polynomials

Indeterminates and constants are found in polynomials, which are algebraic expressions. Polynomials may be thought of as a type of mathematics. They’re used to express numbers in practically every discipline of mathematics, and they’re particularly significant in others, like calculus. 2x + 9 and x2 + 3x + 11 are polynomials, for example. Definition  A […]

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Class 11, IIT JEE, Maths, Nature of roots, Quadratic Equations

How Polynomials are Applied in Mathematics

A polynomial is a mathematical equation made up of indeterminates and coefficients and using only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Polynomials are employed in advanced mathematics to construct polynomial rings and algebraic varieties, which are fundamental notions in algebra and algebraic geometry. Definition: By adding, multiplying, and exponentiating to a non-negative

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Class 11, IIT JEE, Maths, Nature of roots, Quadratic Equations

Formation of Quadratic Equations with Given Roots

Introduction  Aspirants aiming to crack the JEE Mains exam even start their preparation from their class 11th so that they would have time to grasp and have a thorough understanding of every concept. Considering the fact that IIT JEE Mains is one of the toughest exams in India, which requires unmatched hard work and perseverance,

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Class 11, IIT JEE, Maths, Nature of roots, Quadratic Equations

FACTORING POLYNOMIAL

Factoring polynomials is the opposite of multiplying polynomials by their factors. A polynomial of degree ‘n’ in variable x is an equation of the form axn + bxn-1 +cxn-2 +….+kx+ l, where each variable has a constant as its coefficient. A polynomial is an expression in which the addition or subtraction sign separates a combination

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Class 11, IIT JEE, Maths, Nature of roots, Quadratic Equations

Exponential and Logarithmic Inequalities

Exponential inequalities are inequalities with a variable exponent on one (or both) sides. They’re handy in circumstances that require repeated multiplication, especially when compared to a constant amount, such as interest. For example, exponential inequalities can be used to calculate how long it will take to double one’s money at a certain rate of interest;

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Class 11, IIT JEE, Maths, Nature of roots, Quadratic Equations

Algebraic Expressions

Algebra is a field of mathematics that uses alphabetical letters to solve problems involving unknown numbers. Variables are another name for these letters. Constants are values that are known in the provided phrase, such as numbers. Algebra entails simple mathematical operations such as addition, subtraction, multiplication, and division that involve both constants and variables. For

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Class 11, IIT JEE, Maths, Nature of roots, Quadratic Equations

Algebraic Equations

Definition Algebraic equations are made up of two algebraic expressions connected together by an equal to (=) sign. An algebraic equation is sometimes known as a polynomial equation since it contains polynomials on both sides of the equal sign. Variables, coefficients, constants, and algebraic operations such as addition, subtraction, multiplication, division, exponent, and so on

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Class 11, IIT JEE, Maths, Nature of roots, Quadratic Equations