In terms of algebraic expressions, there may be discontinuities or asymptotes in rational functions that can result in a division by zero $$\frac{2x}{4-x} $$ In this expression, if x = 4, the denominator equals zero, and the function becomes undefined. For this reason, 4 will not be...
Some of the main topics coming under algebra include Basics of algebra, exponents, simplification of algebraic expressions, polynomials, quadratic equations, etc. In BYJU’S, students will get the complete details of algebra, including its equations, terms, formulas, etc. Also, solve examples based...
Learn the definition of a variable in algebra. Find out what an independent variable is, compare different algebra terms, and explore examples of variables. Updated: 11/21/2023 Table of Contents What is a Variable in Algebra? Variable Examples Algebra Terms How to Solve Variables Lesson ...
There are plenty of people who interchangeably use Algebraic Expressions and Algebraic Equations, but both terms are completely different. To better understand algebraic expressions, here’s a sneak peek into the terminologies that are used in an algebraic expression. Along with each is an example of...
We can replace f(x) with y and solve the algebraic expression in terms of x. Consider an example.Function: f(x)=5x−9Replace the f(x) with y: y=5x−9Add 9 to both sides: y+9=5xDivide both sides of the equation by 5: y+95=x...
Substitute the value of x in the expression. 7+5=12. Example 2: Consider an algebraic expression y2-5y+2. Let’s evaluate it at y=-1. Substituting y=-1 in the expression, we get (-1)2-5(-1)+2=1+5+2=8 What Are Terms, Coefficients, Variables, and Constants? Terms: In alg...
The key difference between constants and variables are constants are fixed values and variables are varying values in an algebraic expression. Learn more differences at BYJU's with solved examples.
Example of factorising an algebraic expression: Remember: 3x+6 is known as a binomial because it is an expression with two terms 2. Factorising double brackets a) When factorising quadratic expressions in the form x2 + bx + c b) When factorising quadratic expressions in the form ax2 + bx...
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Numerous applications of cubic equations can be found in calculus and three-dimensional geometry. Sequence and Series A set of numbers that have a relationship across the number system is called a sequence. The numbers have a common mathematical relationship, and the terms of a sequence make up ...