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 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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15
Sep
Class 9 | Chapter 2 | Polynomials | Example 10
Example 10: Check whether the polynomial q(t) = 4t3 + 4t2 – t – 1 is a multiple of 2t + 1. Example 9 Example 11 Prerequisite Factor theorem
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15
Sep
Class 9 | Chapter 2 | Polynomials | Example 9
Example 9: Find the remainder when x4 + x3 – 2×2 + x + 1 is divided by x – 1. Example 8 Example 10 Prerequisite Remainder theorem
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12
Sep
Class 9 | Chapter 2 | Polynomials | Example 8
Example 8: Find the remainder obtained on dividing p(x) = x3 + 1 by x + 1. Example 7 Example 9 Prerequisite Read the prerequisite section of example 6. Basics of polynomials / Introduction to polynomials
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12
Sep
Class 9 | Chapter 2 | Polynomials | Example 7
Example 7: Divide the polynomial 3×4 – 4×3 – 3x –1 by x – 1. Example 6 Example 8 Prerequisite Read the prerequisite section of example 6. Basics of polynomials / Introduction to polynomials
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12
Sep
Class 9 | Chapter 2 | Polynomials | Example 6
Example 6: Divide p(x) by g(x), where p(x) = x + 3×2 – 1 and g(x) = 1 + x. Example 5 Example 7 Prerequisite Dividing a polynomial with another polynomial is not a difficult task but could be bit confusing…
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10
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.1 | Question 5
Question 5: Classify the following as linear, quadratic and cubic polynomials: (i) x2 + x (ii) x – x3 (iii) y + y2 + 4 (iv) 1 + x (v) 3t (vi) r2 (vii) 7×3 Question 4 Ex: 2.2 | Question 1…
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10
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.1 | Question 4
Question 4: Write the degree of each of the following polynomials: (i) 5×3 + 4×2 + 7x (ii) 4 – y2 (iii) 5t – √7 (iv) 3 Question 3 Question 5 Prerequisite The combined highest exponent of variables in a single term is…
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