Practice the questions given in the worksheet on Remainder Theorem. Show
1. Use the Remainder Theorem, find the remainder when 4x\(^{3}\) - 3x\(^{2}\) + 2x - 4 is divided by x + 1. 2. If p(y) = y\(^{3}\) + y\(^{2}\) - 2y + 1, using Remainder Theorem, find the remainder, when p(y) is divided by (y – 3), find the value of p(a). 3. Find the remainder (without division) when (a) x\(^{2}\) - 2x + 4 is divided by x - 1 (b) 2x\(^{3}\) - 3x\(^{2}\) + 7x - 8 is divided by x - 1 4. Use the Remainder Theorem, find the remainder when x\(^{4}\) - 3x\(^{2}\) + 4x - 12 is divided by x - 3. 5. Find the remainder (without division) when (a) x\(^{3}\) + 4x + 2 is divisible by x + 2 (b) 4x\(^{3}\) - 3x\(^{2}\) + 5x + 4 is divided by 2x + 1 (c) 4x\(^{3}\) + 5x\(^{2}\) + 6x - 7 is divided by 2x - 1 6. What number should be added to x\(^{2}\) + 5 so that the resulting polynomial leaves the remainder 3 when divided by x + 3? 7. Use the Remainder Theorem, find the remainder when 4x\(^{3}\) - 3x\(^{2}\) + 2x - 4 is divided by x + 1. 8. What number should be subtracted from 3x\(^{2}\) + 5x so that the resulting polynomial leaves the remainder 1 when divided by 2x + 5? 9. Use the Remainder Theorem, find the remainder when x\(^{6}\) + 3x\(^{2}\) + 10 is divided by x - 2. 10. Find a if the remainder is a when x\(^{3}\) + 3x\(^{2}\) - ax + 3 is divided by x - 2. 11. If the polynomials ax\(^{3}\) + 4x\(^{2}\) + 3x – 4 and x\(^{3}\) - 4x + a leave the same remainder when divided by (x - 3), find the value of a. 12. Find the value of k if the remainder is -3 when kx\(^{3}\) + 8x\(^{2}\) - 4x + 10 is divided by x +1. 13. If both ax\(^{3}\) + 2x\(^{2}\) - 3 and x\(^{2}\) - ax + 4 leave the same remainder when divided by x - 2, find a. Answers for the worksheet on Remainder Theorem are given below: Answers: 1. -13 2. 31, a\(^{3}\) + a\(^{2}\) - 2a + 1 3. (a) 3 (b) -2 4. 54 5. (a) -14 (b) \(\frac{1}{4}\) (c) -\(\frac{9}{4}\) 6. -11 7. -13 8. \(\frac{21}{4}\) 9. 86 10. \(\frac{23}{3}\) 11. a = -1. 12. 25 13. \(\frac{3}{10}\) ● Factorization
10th Grade Math From Worksheet on Remainder Theorem to HOME Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need. Solving Quadratic Equations
 More information Zeros of Polynomial Functions
More information 2-5 Rational Functions
More information Algebra I Vocabulary Cards
More information SOLVING POLYNOMIAL EQUATIONS
More information Factoring Polynomials
More information 1.3 Algebraic Expressions
More information Understanding Basic Calculus
More information Zeros of a Polynomial Function
More information Higher Education Math Placement
More information POLYNOMIAL FUNCTIONS
More information PRE-CALCULUS GRADE 12
More information 0.4 FACTORING POLYNOMIALS
More information Zeros of Polynomial Functions
More information 3.3 Real Zeros of Polynomials
More information Polynomials and Factoring
More information 8 Polynomials Worksheet
More information Solutions to Homework 10
More information PYTHAGOREAN TRIPLES KEITH CONRAD
More information Mathematics Placement
More information FACTORING QUADRATICS 8.1.1 and 8.1.2
More information Zeros of Polynomial Functions
More information 7.2 Quadratic Equations
More information Week 1: Functions and Equations
More information GRE Prep: Precalculus
More information Factoring Quadratic Expressions
More information 1.1 Practice Worksheet
More information MATH 100 PRACTICE FINAL EXAM
More information Limits and Continuity
More information Polynomial and Rational Functions
More information Examples of Functions
More information UNCORRECTED PAGE PROOFS
More information 2312 test 2 Fall 2010 Form B
More information MATH 60 NOTEBOOK CERTIFICATIONS
More information |
5 6 the remainder and factor theorems worksheet answers pdf
Copyright © 2024 boxhindi Inc.
