23
Sep
Class 9 | Chapter 2 | Polynomials | Example 14
Example 14: Factorise y2 – 5y + 6 by using the Factor Theorem. Example 13 Example 15 Prerequisite Once again!!! Factor theorem should be understood. Factor theorem
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23
Sep
Class 9 | Chapter 2 | Polynomials | Example 13
Example 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…
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23
Sep
Class 9 | Chapter 2 | Polynomials | Example 12
Example 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…
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23
Sep
Class 9 | Chapter 2 | Polynomials | Example 11
Example 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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23
Sep
Class 9 | Chapter 2 | Polynomials | Algebraic Identities
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…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Factorisation by splitting the middle term
Factorisation of quadratic polynomial ax2 + bx + c by splitting the middle term. Basics of polynomials Algebraic Identities Prerequisite Factorisation of quadratic polynomials is a very easy task. You must be aware of the basics of polynomials before you…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 5
Question 5: Factorise : (i) x3 – 2×2 – x + 2 (ii) x3 – 3×2 – 9x – 5 (iii) x3 + 13×2 + 32x + 20 (iv) 2y3 + y2 – 2y – 1 Question 4 Ex: 2.5 | Question 1 Prerequisite…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 4
Question 4: Factorise : (i) 12×2 – 7x + 1 (ii) 2×2 + 7x + 3 (iii) 6×2 + 5x – 6 (iv) 3×2 – x – 4 Question 3 Question 5 Prerequisite Factorisation of a 2 degree polynomial (quadratic polynomial) is one of…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 3
Question 3: Find the value of k, if x – 1 is a factor of p(x) in each of the following cases: (i) p(x) = x2 + x + k (ii) p(x) = 2×2 + kx + √2 (iii) p(x)…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 2
Question 2: Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2×3 + x2 – 2x – 1, g(x) = x + 1 (ii) p(x) = x3 +…
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