Maths : Algebra: Book Back, Exercise, Example Numerical Question with Answers, Solution : Exercise 3.3: Remainder Theorem

**Exercise 3.3: ****Remainder
Theorem**

**1. Check whether p(x) is
a multiple of g(x) or not . **

* p***( x) = x^{3}
− 5x^{2} + 4x − 3 ; g(x) =
x – 2**

**2. By remainder theorem, find the remainder
when, p(x) is divided by g(x) where,**

**(i) p(x) = x^{3}
− 2x^{2} − 4x − 1 ; g**

**(ii) p(x) = 4x^{3}
− 12x^{2} + 14 x − 3; g**

**(iii)****
***p***( x) = x^{3}
− 3x^{2} + 4x + 50 ;**

**3. Find the remainder when 3 x^{3}
− 4x^{2} + 7x − 5 is divided by (x+3)**

**4. What is the remainder when x^{2018}
+2018 is divided by x–1**

**5. For what value of k is the
polynomial**

* p ***(*** x***) =**** 2 x^{3}
− kx^{2} + 3x + 10 exactly divisible by (x–2)**

**6. If two polynomials 2x^{3}
+ ax^{2} + 4x – 12 and x^{3} + x^{2}
–2x+ a leave the same remainder when divided by (x – 3), find the
value of a and also find the remainder.**

**7. Determine whether ( x **

*i***) x ^{3} **

**8. Using factor theorem, show that ( x
− 5) is a factor of the polynomial 2x ^{3} **

**9. Determine the value of m ,
if (x **

**10. If both ( x **

**11. If ( x **

**12. Check if ( x **

Tags : Numerical Problems with Answers, Solution | Algebra | Maths , 9th Maths : UNIT 3 : Algebra

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9th Maths : UNIT 3 : Algebra : Exercise 3.3: Remainder Theorem | Numerical Problems with Answers, Solution | Algebra | Maths

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