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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
Read MoreExample 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
Read MoreExample 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…
Read MoreQuestion 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)…
Read MoreQuestion 3: Verify whether the following are zeroes of the polynomial, indicated against them. (i) p(x) = 3x + 1, x = -1/3 (ii) p(x) = 5x – π, x = 4/5 (iii) p(x) = x2 – 1, x = 1,…
Read MoreQuestion 2: Find p(0), p(1) and p(2) for each of the following polynomials: (i) p(y) = y2 – y + 1 (ii) p(t) = 2 + t + 2t2 – t3 (iii) p(x) = x3 (iv) p(x) = (x – 1)…
Read MoreQuestion 1: Find the value of the polynomial 5x – 4×2 + 3 at (i) x=0 (ii) x=–1 (iii) x=2 Ex: 2.1 | Question 5 Question 2 Prerequisite Finding value of a polynomial is quite trivial. All you have to do…
Read MoreQuestion 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…
Read MoreQuestion 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…
Read MoreQuestion 3: Give one example each of a binomial of degree 35, and of a monomial of degree 100. Question 2 Question 4 Prerequisite Monomial – Polynomial with one term Binomial – Polynomial with two terms Learn more about polynomials.…
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