Automatic Factoring Online Tutoring - Maths Online Tutors

Automatic Factoring Online Tutoring - Maths Online Tutors Factoring is a very important and most commonly used method in Algebra to simplify any given expression or equation. In the method of factoring, a constant or a variable which is common in all the given terms of the expression or equation is pulled out as a common factor. This simplifies the given expression and hence it is called automatic factoring. Example 1: Factor the given algebraic expression: 2x3 + 6x 10x4. Given algebraic expression: 2x3 + 6x 10x4 In the above given expression, the three terms consist numbers such as 2, 6, 10. These three numbers are multiples of 2; hence 2 is a common factor for all the three terms. Similarly, x is a common factor for the three terms in the given expression! Hence we get: 2x(x2 + 3 5x3) So the factored form of the given expression,2x3 + 6x 10x4 = 2x(x2 + 3 5x3) Example 2: Factor the given algebraic expression: 5y5 + 10y4 5y3 + 15y2 Given algebraic expression: 5y5 + 10y2 5y3 + 15y2 In the above given expression, the four terms consist numbers such as 5, 10, 5, 15. These four numbers are multiples of 5; hence 5 is a common factor for all the four terms. Similarly, y2 is a common factor for the four terms in the given expression! Hence we get: 5y2 (y3 + 2y2 y + 3) So the factored form of the given expression is: 5y5 + 10y4 5y3 + 15y2 = 5y2(y3 + 2y2 y + 3)