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R.S. Aggarwal solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 8 - Remainder Theorem and Factor Theorem [Latest edition]

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Chapters

UNIT 1: COMMERCIAL MATHEMATICS

    1: Goods and Services Tax (G.S.T.)

    2: Banking

    3: Shares and Dividends

UNIT 2: ALGEBRA

    4: Linear Inequations

    5: Quadratic Equation

    6: Problems on Quadratic Equations

    7: Ratio and Proportion

▶ 8: Remainder Theorem and Factor Theorem

    9: Matrices

   Chapter 10: Arithmetic Progression

   Chapter 11: Geometric Progression

    12: Reflection

   Chapter 13: Section and Mid-point Formulae

   Chapter 14: Equation of a Straight Line

UNIT 3: GEOMETRY

   Chapter 15: Similarity (As a Size Transformation)

   Chapter 16: Similarity of Triangles

    17: Loci

   Chapter 18: Angle and Cyclic Properties of a Circle

   Chapter 19: Tangent Properties of Circles

    20: Constructions

UNIT 4: MENSURATION

   Chapter 21: Volume and Surface Area of Solids (Cylinder, Cone and Sphere)

UNIT 5: TRIGONOMETRY

   Chapter 22: Trigonometrical Identities

   Chapter 23: Heights and Distances

UNIT 6: STATISTICS

   Chapter 24: Graphical Representation of Statistical Data

   Chapter 25: Measures of Central Tendency (Mean)

   Chapter 26: Median, Quartiles and Mode

UNIT 7: PROBABILITY

   Chapter 27: Probability

R.S. Aggarwal solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 8 - Remainder Theorem and Factor Theorem - Shaalaa.com
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Solutions for Chapter 8: Remainder Theorem and Factor Theorem

Below listed, you can find solutions for Chapter 8 of CISCE R.S. Aggarwal for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई.


EXERCISE 8AEXERCISE 8B
EXERCISE 8A [Page 122]

R.S. Aggarwal solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई 8 Remainder Theorem and Factor Theorem EXERCISE 8A [Page 122]

1.Page 122

Using Remainder Theorem, find the remainder when $$f(x) = 3x^2 - 5x + 7$$ is divided by $$(x - 2)$$.

2.Page 122

Using Remainder Theorem, find the remainder when $$f(x) = 2x^3 - 5x^2 + 3x - 10$$ is divided by $$(x - 3)$$.

3.Page 122

Using Remainder Theorem, find the remainder when $$f(x) = 5x^3 - 12x^2 + 17x - 6$$ is divided by $$(x - 1)$$.

4.Page 122

Using Remainder Theorem, find the remainder when $$f(x) = x^3 - 2x^2 - 5x + 6$$ is divided by $$(x + 2)$$.

5.Page 122

Using Remainder Theorem, find the remainder when $$f(x) = 8x^3 - 16x^2 + 14x - 5$$ is divided by $$(2x - 1)$$.

6.Page 122

Using Remainder Theorem, find the remainder when $$f(x) = 9x^2 - 6x + 2$$ is divided by $$(3x - 2)$$.

7.Page 122

Using Remainder Theorem, find the remainder when $$f(x) = 8x^2 - 2x - 15$$ is divided by $$(2x + 3)$$.

8.Page 122

On dividing $$(ax^3 + 9x^2 + 4x - 10)$$ by $$(x + 3)$$, we get 5 as remainder. Find the value of $$a$$.

9.Page 122

Using Remainder Theorem, find the value of $$k$$ if on dividing $$2x^3 + 3x^2 - kx + 5$$ by $$(x - 2)$$, leaves a remainder 7.

10.Page 122

If the polynomials $$(2x^3 + ax^2 + 3x - 5)$$ and $$(x^3 + x^2 - 2x + a)$$ leave the same remainder when divided by $$(x - 2)$$, find the value of $$a$$. Also, find the remainder in each case.

11.Page 122

The polynomials $$f(x) = (ax^3 + 3x^2 - 3)$$ and $$g(x) = (2x^3 - 5x + a)$$ when divided by $$(x - 4)$$ leave the same remainder in each case. Find the value of $$a$$.

12.Page 122

Find $$a$$ if the two polynomials $$ax^3 + 3x^2 - 9$$ and $$2x^3 + 4x + a$$ leave the same remainder when divided by $$(x + 3)$$.

13.Page 122

If $$(2x^3 + ax^2 + bx - 2)$$ when divided by $$(2x - 3)$$ and $$(x + 3)$$ leaves remainders 7 and –20 respectively, find the values of $$a$$ and $$b$$.

14.Page 122

Using the Remainder Theorem, find the remainders obtained when $$x^3 + (kx + 8)x + k$$ is divided by $$x + 1$$ and $$x - 2$$. Hence find $$k$$ if the sum of the two remainders is 1.

EXERCISE 8B [Page 127]

R.S. Aggarwal solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई 8 Remainder Theorem and Factor Theorem EXERCISE 8B [Page 127]

1. (i)Page 127

Using factor theorem, show that (x – 3) is a factor of \[(x^{3} + x^{2} - 17x + 15)\].

1. (ii)Page 127

Using factor theorem, show that (x + 1) is a factor of \[(x^{3} + 4x^{2} + 5x + 2)\].

1. (iii)Page 127

Using factor theorem, show that (3x – 2) is a factor of \[(3x^{3} + x^{2} - 20x + 12)\].

Solutions for 8: Remainder Theorem and Factor Theorem

EXERCISE 8AEXERCISE 8B
R.S. Aggarwal solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 8 - Remainder Theorem and Factor Theorem - Shaalaa.com

R.S. Aggarwal solutions for मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 8 - Remainder Theorem and Factor Theorem

Shaalaa.com has the CISCE Mathematics मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. R.S. Aggarwal solutions for Mathematics मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई CISCE 8 (Remainder Theorem and Factor Theorem) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. R.S. Aggarwal textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 8 Remainder Theorem and Factor Theorem are Remainder Theorem, Factor Theorem, Applications of Factor Theorem, Function and Polynomial, Division Algorithm for Polynomials.

Using R.S. Aggarwal मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई solutions Remainder Theorem and Factor Theorem exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in R.S. Aggarwal Solutions are essential questions that can be asked in the final exam. Maximum CISCE मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई students prefer R.S. Aggarwal Textbook Solutions to score more in exams.

Get the free view of Chapter 8, Remainder Theorem and Factor Theorem मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई additional questions for Mathematics मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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