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Chapters
2: Sales Tax and Value Added Tax
3: Banking
4: Shares and Dividends
5: Linear Inequations (Solving Linear Inequations in One Variable)
6: Quadratic Equation
7: Reflection
8: Ratio and Proportion
▶ 9: Factorization
10: Matrices
11: Coordinate Geometry
12: Symmetry
13: Similarity
14: Loci (Locus and its Constructions)
15: Circles
16: Constructions (Circle)
17: Mensuration
18: Trigonometry
19: Statistics
20: Probability
![ICSE solutions for Mathematics [English] Class 10 chapter 9 - Factorization - Shaalaa.com](/images/mathematics-english-class-10_6:5f2b1b2038084cf381bfa42c826a928c.jpg "ICSE solutions for Mathematics [English] Class 10 chapter 9 - Factorization")
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Solutions for Chapter 9: Factorization
Below listed, you can find solutions for Chapter 9 of CISCE ICSE for Mathematics [English] Class 10.
ICSE solutions for Mathematics [English] Class 10 9 Factorization Exercise 1
Use remainder theorem and find the remainder when the polynomial g(x) = x3 + x2 – 2x + 1 is divided by x – 3.
When x3 + 3x2 – kx + 4 is divided by (x – 2), the remainder is k. Find the value of k.
Find the value of p if the division of px3 + 9x2 + 4x - 10 by (x + 3) leaves the remainder 5.
Use the factor theorem to determine that x - 1 is a factor of x6 - x5 + x4 - x3 + x2 - x + 1.
Use the factor theorem to factorise completely x3 + x2 - 4x - 4.
Find the remainder when the polynomial f(x) = 2x4 - 6x3 + 2x2 - x + 2 is divided by x + 2.
Find the value of a and b so that the polynomial x3 - ax2 - 13x + b has (x - 1) (x + 3) as factor.
If the polynomials ax3 + 4x2 + 3x - 4 and x3 - 4x + a leave the same remainder when divided by (x - 3), find the value of a.
Find the value of a , if (x - a) is a factor of x3 - a2x + x + 2.
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.
Show that (x - 1) is a factor of x3 - 7x2 + 14x - 8. Hence, completely factorise the above expression.
In the following two polynomials. Find the value of ‘a’ if x + a is a factor of each of the two:
x3 + ax2 - 2x + a + 4
In the following two polynomials. Find the value of ‘a’ if x + a is a factor of each of the two:
x4 - a2x2 + 3x - a.
In the following two polynomials, find the value of ‘a’ if x – a is a factor of each of the two:
x6 - ax5 + x4 - ax3 + 3a + 2
In the following two polynomials, find the value of ‘a’ if x – a is a factor of each of the two:
x5 - a2x3 + 2x + a + 1.
Given that x + 2 and x + 3 are factors of 2x3 + ax2 + 7x - b. Determine the values of a and b.
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x - 4
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + 2
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + `(1)/(2)`.
In the following problems use the factor theorem to find if g(x) is a factor of p(x):
p(x) = x3 - 3x2 + 4x - 4 and g(x) = x - 2
In the following problems use the factor theorem to find if g(x) is a factor of p(x):
p(x) = 2x3 + 4x + 6 and g(x) = x + 1
In the following problems use the factor theorem to find if g(x) is a factor of p(x):
p(x) = x3 + x2 + 3x + 175 and g(x) = x + 5.
If x – 2 is a factor of each of the following three polynomials. Find the value of ‘a’ in each case:
x2 - 3x + 5a
If x – 2 is a factor of each of the following three polynomials. Find the value of ‘a’ in each case:
x3 + 2ax2 + ax - 1
If x – 2 is a factor of each of the following three polynomials. Find the value of ‘a’ in each case:
x5 - 3x4 - ax3 + 3ax2 + 2ax + 4.
Find the value of the constant a and b, if (x – 2) and (x + 3) are both factors of expression x3 + ax2 + bx - 12.
The expression 2x3 + ax2 + bx - 2 leaves the remainder 7 and 0 when divided by (2x - 3) and (x + 2) respectively calculate the value of a and b. With these value of a and b factorise the expression completely.
If x – 2 is a factor of 2x3 - x2 - px - 2.
Find the value of p
If x – 2 is a factor of 2x3 - x2 - px - 2.
with the value of p, factorize the above expression completely.
ICSE solutions for Mathematics [English] Class 10 9 Factorization Exercise 2
Show that x2 - 9 is factor of x3 + 5x2 - 9x - 45.
Show that 2x + 7 is a factor of 2x3 + 5x2 - 11 x - 14. Hence factorise the given expression completely, using the factor theorem.
Using factor theorem, show that (x - 3) is a factor of x3 - 7x2 + 15x - 9, Hence, factorise the given expression completely.
Solutions for 9: Factorization
ICSE solutions for Mathematics [English] Class 10 chapter 9 - Factorization
Shaalaa.com has the CISCE Mathematics Mathematics [English] Class 10 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. ICSE solutions for Mathematics Mathematics [English] Class 10 CISCE 9 (Factorization) 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. ICSE textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics [English] Class 10 chapter 9 Factorization are Factor Theorem, Remainder Theorem, Factorising a Polynomial Completely After Obtaining One Factor by Factor Theorem.
Using ICSE Mathematics [English] Class 10 solutions Factorization 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 ICSE Solutions are essential questions that can be asked in the final exam. Maximum CISCE Mathematics [English] Class 10 students prefer ICSE Textbook Solutions to score more in exams.
Get the free view of Chapter 9, Factorization Mathematics [English] Class 10 additional questions for Mathematics Mathematics [English] Class 10 CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.
