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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15
Sep
Class 9 | Chapter 2 | Polynomials | Remainder theorem
Remainder theorem: Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x – a, then the remainder is p(a). Basics of polynomials…
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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 2.2 | Question 4
Question 4: Find the zero of the polynomial in each of the following cases: (i) p(x) = x + 5 (ii) p(x) = x – 5 (iii) p(x) = 2x + 5 (iv) p(x) = 3x – 2 (v) p(x)…
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