Maths : Algebra: Book Back, Exercise, Example Numerical Question with Answers, Solution : Exercise 3.7: Division of Polynomials

**Exercise 3.7: Division of Polynomials**

**1. Find the quotient and remainder of
the following.**

**(i) (4 x^{3} + 6x^{2}
– 23x +18) ÷ (x+3)**

**(ii) (8 y^{3} – 16y^{2}
+ 16y –15) ÷ (2y–1)**

**(iii) (8 x^{3} – 1) ÷ (2x–1)**

**(iv) (–18 z + 14z^{2}
+ 24z^{3} +18) ÷ (3z+4)**

**2. The area of a rectangle is x^{2}
+ 7x + 12. If its breadth is (x+3), then find its length.**

**3. The base of a parallelogram is (5 x+4).
Find its height, if the area is 25x^{2}–16.**

**4. The sum of ( x+5) observations
is (x^{3}+125). Find the mean of the observations.**

**5. Find the quotient and remainder for
the following using synthetic division:**

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

**(iii) (3 x ^{3} **

**6. If the quotient obtained on dividing
(8 x ^{4} **

**7. If the quotient obtained on dividing
3 x^{3} **

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

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9th Maths : UNIT 3 : Algebra : Exercise 3.7: Division of Polynomials | Numerical Problems with Answers, Solution | Algebra | Maths

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