Strategic Online Tutoring for Slow Learners

Strategic Online Tutoring for Slow Learners 0SHARESShare In today’s modern age, evolution of technology has improved our life to a great extent.   Learning too has evolved in its restructured form. Online Tutoring, a technology introduced to create a virtual environment in which teachers and students from all over the world relate with each other. Slow learners often face difficulties in classroom environment as they need special attention. They fail to understand a subject easily like others. Their doubts need to be attended with special care to make the learning effective for them.  At times such students are not able to put forward their queries in front of teacher in the classroom and suffer from lack self-confidence. By tutoring via Internet, students can interact comfortably with tutor on different topics without any hesitation. The one-on-one online tutoring sessions are far more comfortable to students who learn slowly as they feel free to seek answers without being humiliated. [starbox id=admin]

Adding And Subtracting Rational Expressions

Adding And Subtracting Rational Expressions Rational expression is a fraction of two polynomials When polynomials in the denominator 0. For example: - (x^1 + 2)/ (x^2 + 1) is a rational expression where x^2 + 1 0. Other examples of rational expressions like (x + 1) / (x + 2) (3x^2 + 2) / (x + 5) (9x^3 + 6x^2 + 8x + 5) / (7x^2 + 5x + 9) 3/ x 5 / (x + 1) Few examples those are not a rational expressions: - [5 + x^(3/2)] / (x + 9): - It is not a rational expression because 5 + x^ (3/2) is not a polynomial. Polynomial defines that the power should be non- negative intger but 3/ 2 is not an integer. [1 + x ^ (-1)] / x: - -1 is a negative number so numerator is not a polynomial. Hence it is not a rational expression. 2x / [x ^ (2) + 5]: - 2 is not integer so it is not a rational expression. Examples of Adding and subtracting rational expressions: - Add the following rational expressions: - (3x + 2) / x^2, (x^2 + 2) / x^3. Solution: - (3x + 2) / x^2 + (x^2 + 2) / x^3 =[ x (3x + 2) + (x^2 + 2)] / x^3 = (3x^2 + 2x + x^2 + 2) / x^3 = (4x^2 +2x + 2) / x^3 = 2(2x^2 + x + 1) / x^3 Simplify: - (x+1)/(x-1) (x-1)/(x+1) Solution: - [(x+1)^2-(x-1)^2]/[(x+1)(x-1)] =[(x^2+2x+1)-(x^2-2x+1)]/(x^2-1^2) =(x^2+2x+1-x^2+2x-1)/(x^2-1) =4x/(x^2-1)