Class 9 – Polynomials

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

Example 9:  Find the remainder when x4 + x3 – 2×2 + x + 1 is divided by x – 1. Example 8 Example 10 Prerequisite Remainder theorem

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

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

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…