Home > ICSE Solutions for Class 10 Maths > ICSE Maths Solutions Class 10 Factor Theorem Factorization Revision Exercise

ICSE Maths Solutions Class 10 Factor Theorem Factorization Revision Exercise

ICSE Maths Solutions Class 10 Factor Theorem Factorization Revision Exercise

Hi students, Welcome to Amans Maths Blogs (AMB). In this post, you will get ICSE Maths Solutions Class 10 Factor Theorem Factorization Revision Exercise. This chapter of ‘Factor Theorem & Factorization‘ included in ICSE Class 10 Maths syllabus.

ICSE Maths Solutions Class 10 Chapter 7 Revision Exercise

S Chand ICSE Maths Solutions Class 10 Chapter 7 Revision Exercise: Ques No 1

Find the remainder when 2x3 – 3x2 + 7x – 8 is divided by (x – 1).

S Chand ICSE Maths Solutions:


Ques No 2

Find the value of the constants a and b if (x – 2) and (x – 3) are both factors of the expression x3 + ax2 + bx – 12.

Solutions:


Ques No 3

Using factor theorem, show that (x – 3) is a factor of x3 – 7×2 + 15x – 9. Hence, factorize the given expression completely.

Solutions:


Ques No 4

Find the value of a, if (x – a) is a factor of x3 + a2x + x + 2. 

Solutions:


Ques No 5

Use the factor theorem to factorize completely: x3 + x2 – 4x – 4.

Solutions:


Ques No 6

(x – 2) is factor of the expression x3 + ax2 + bx + 6. When this expression is divided by (x – 3), it leaves a remainder 3. Find the values of a and b.

Solutions:


Ques No 7

Show that (2x + 7) is factor of 2x3 + 5x2 – 11x – 14. Hence factorize the given expression completely using factor theorem.

Solutions:


Ques No 8

Show that (x – 1) is factor of x3 – 7x2 + 14x – 8. Hence completely factorize the given expression.

Solutions:


Ques No 9

If (x – 2) is factor of 2x3 – x2 – px – 2.

(i) Find the value of p,

(ii) With the value of p, factorize the above expression completely.

Solutions:


Ques No 10

Given that (x + 2) and (x + 3) are factors of 2×3 + ax2 + 7x – b, determine the values of a and b.

Solutions:


Ques No 11

When divided by (x – 3), the polynomials x3 – px2 + x + 6 and 2x3 – x2 – (p + 3)x – 6 leave the same remainder. Find the value of p.

Solutions:


Ques No 12

Using the remainder theorem, factorize the following expression 2x3 + x2 – 13x + 6.

Solutions:


Ques No 13

Find the value of ‘k’ if (x – 2) is a factor of x3 + 2x2 – kx + 10. Hence determine whether (x + 5) is also a factor.

Solutions:


Ques No 14

Using the remainder theorem factorize completely the following polynomial : 3x3 + 2x2 – 19x + 6.

Solutions:


Ques No 15

If (x – 2) is a factor of the expression 2x3 + ax2 + bx – 14 and when the expression is divided by (x – 3), it leaves a remainder 52, find the values of a and b.

Solutions:


Ques No 16

Using remainder and factor theorem, factorize the following polynomial: x3 + 10x2 – 37x + 26.

Solutions:


Ques No 17

Find ‘a’ if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a leave the same remainder when divided by (x + 3).

Solutions:


Ques No 18

Using remainder theorem, find the value of k if on dividing 2x3 + 3x2 – kx + 5 by (x – 2), leave a remainder 7.

Solutions:


S Chand ICSE Class 10 Maths Chapterwise Notes & Solutions
Chapter 1 : GST Notes & Solutions
| Notes | Exercise 1
Chapter 2 : Banking Notes & Solutions
| Notes | Exercise 2 | Revision Exercise
Chapter 3 : Shares & Dividends Notes & Solutions
| Notes | Exercise 3A | Exercise 3B | Revision Exercise
Chapter 4 : Linear Inequations in One Variable Notes & Solutions
| Notes | Exercise 4 | Revision Exercise
Chapter 5 : Quadratic Equations Notes & Solutions
| Notes | Exercise 5A | Exercise 5B | Exercise 5C| Exercise 5D| Exercise 5E| Revision Exercise
Chapter 6 : Ratios & Proportions Notes & Solutions
| Notes | Exercise 6A | Exercise 6B | Exercise 6C| Revision Exercise

Join Telegram to get PDF

AMAN RAJ
I am AMAN KUMAR VISHWAKARMA (in short you can say AMAN RAJ). I am Mathematics faculty for academic and competitive exams. For more details about me, kindly visit me on LinkedIn (Copy this URL and Search on Google): https://www.linkedin.com/in/ambipi/

Leave a Reply

error: Content is protected !!