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Home >> Polynomials >> Algebraic Equation >>

## algebraic equation

 Algebraic Expression Algebraic Equation Ordering of Polynomials Types of Polynomials Addition of Polynomials Subtraction of Polynomials Multiplication of Polynomials Division of Polynomials Types of Degree / Powers in Polynomials Difference between Polynomials of Integers & Rationals Find Value of Polynomial Find Zero of Polynomial Remainder Theorem in Polynomial Linear Equations Quadratic Equation Factoring of Quadratic Polynomials

 Definition: Algebraic Equation is a condition where two expressions have equal values. Examples: 4x + 2 = 8 15 = 5x x/2 = 8 3x - 2 = 4 Points to note: 1. Out of two expressions, one expression must contain a variable. 2. Even if we interchange the expression, the value remains unchanged. Write the following statements in the form of equation: Question 1 - Five times of "x" is 15 Solution - This proceeds as : Five times of "x" = 5x The resultant equation we get; 5x = 15 Question 2 - Sum of 4 times "x" and 2 is 10 Solution - This proceeds as : Four times of "x" = 4x. Sum of 4x and 2 = 4x + 2 The resultant equation we get; 4x + 2 = 10 Question 3 - Subtract 2 from 4 times of "x" and we get 10 Solution - This proceeds as : Four times of "x" = 4x. Subtract 2 from 4x = 4x - 2 The resultant equation we get; 4x - 2 = 10 Question 4 - One third of "x" is 15 Solution - This proceeds as : One third of "x" = 1/3x The resultant equation we get; 1/3x = 15

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