Mathematics is like music – Enjoy it!!!
Example 17: Evaluate 105 × 106 without multiplying directly. Example 16 Example 18 Prerequisite As mentioned in the previous question, you must understand and remember few very important algebraic identities. Algebraic Identities
Read MoreExample 16: Find the following products using appropriate identities: (i) (x + 3) (x + 3) (ii) (x – 3) (x + 5) Example 15 Example 17 Prerequisite Extremely important for every student to learn and remember few algebraic identities.…
Read MoreExample 15: Factorise x3 – 23×2 + 142x – 120. Example 14 Example 16 Prerequisite These could be little tricky questions for students to solve. Believe me, there is nothing difficult to understand in these questions. Such questions are a mix…
Read MoreExample 14: Factorise y2 – 5y + 6 by using the Factor Theorem. Example 13 Example 15 Prerequisite Once again!!! Factor theorem should be understood. Factor theorem
Read MoreExample 13: Factorise 6×2 + 17x + 5 by splitting the middle term, and by using the Factor Theorem. Part 1 – By splitting the middle term Part 2 – Using Factor theorem Example 12 Example 14 Prerequisite Factorising a quadratic…
Read MoreExample 12: Find the value of k, if x – 1 is a factor of 4×3 + 3×2 – 4x + k. Example 11 Example 13 Prerequisite Just like we applied Factor theorem in previous question, this question is also solved…
Read MoreExample 11: Examine whether x + 2 is a factor of x3 + 3×2 + 5x + 6 and of 2x + 4. Example 10 Example 12 Prerequisite To check whether a linear polynomial is a factor of another polynomial of degree…
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What is an algebraic Identity: An algebraic identity is an equation which is true for all variables occurring in it. Factorise – Splitting the middle term Basics of polynomials About & Prerequisite This tutorial is primarily created for students who are…
Read MoreConcept: In this tutorial, you will learn how to prove that integers are infinitely many. The proof is very simple and you will be able to understand it very quickly. Similar method can be applied to prove that Natural numbers,…
Read MoreConcept: In this tutorial, you will learn that there are infinitely many rational numbers between any two rational numbers. There are multiple ways to learn it and I have taught by calculating the mean (average) of two numbers. Rational numbers…
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