Explore Exams
Login Signup
Sign in Open App
CBSE Class 9  >  Class 9 Test  >  Online MCQ Tests  >  Test: Factorisation Factor Theorem - Class 9 MCQ

Factorisation Factor Theorem - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: Factorisation Factor Theorem (20 Questions)

You can prepare effectively for Class 9 Online MCQ Tests for Class 9 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Factorisation Factor Theorem". These 20 questions have been designed by the experts with the latest curriculum of Class 9 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 20

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: Factorisation Factor Theorem - Question 1
Save

x-a is a factor of p(x) = ax2+bx+c. Which of the following is true?​

Detailed Solution: Question 1

See if g(x) = x- a
Then g(x) is a factor of p(x)
The zero of polynomial = a
Therefore p(a)= 0

Test: Factorisation Factor Theorem - Question 2
Save

If x+1 is a factor of x3+3x2+3x+a, then a = ?

Detailed Solution: Question 2

Given, x3 + 3x2 + 3x + a = 0

and its factor is x + 1 = 0 

⇒ x = -1

Put the value in equation i.e. x3 + 3x2 + 3x + a = 0

it becomes = (-1) + 3 (1) + 3(-1) + a = 0

⇒ -1 + 3 - 3 + a = 0

⇒ a = 1

Clear all your doubts with EduRev
Test: Factorisation Factor Theorem - Question 3
Save

If (x-2) is the factor of x2 + 2x+ a, find the value of ‘a’.

Detailed Solution: Question 3

If x-2 is a factor then 2 is the zero of the polynomial
by substituting 2 in the given polynomial,we get
2^2+2(2)+a=0
8+a=0
a=-8

Test: Factorisation Factor Theorem - Question 4
Save

If a polynomial p(x) is divided by a linear divisor (x-a), then the remainder is

Test: Factorisation Factor Theorem - Question 5
Save

The value of p for which x + p is a factor of x2 + px + 3 – p is:

Test: Factorisation Factor Theorem - Question 6
Save

For two polynomials p(x) and q(x), x-a and x-b are their factors, respectively.Which of the following is true?​

Test: Factorisation Factor Theorem - Question 7
Save

Find the value of a such that (x – 2) is the factor of the polynomial x4 + ax3 + 2x2– 3x

Detailed Solution: Question 7

Zero of the polynomial is x -2 =0 =>x = 2 put the value of x = 2 (2²)² + a(2)³ + 2(2)² - 3(2) = 16 + 8a + 8 - 6 = 18 + 8a = 0 = 8a = -18 = a = -18/8 = a = -9/4

Test: Factorisation Factor Theorem - Question 8
Save

One of the linear factors of ​3x2 + 8x + 5 is

Test: Factorisation Factor Theorem - Question 9
Save

What is the value of b such that x+3 is a factor of x2 - bx -12?

Test: Factorisation Factor Theorem - Question 10
Save

Find the value of ‘a’ so that (x-1) is the factor of x2+a+1

Test: Factorisation Factor Theorem - Question 11
Save

For a polynomial p(x), x-2 is a factor, so p(2) is _______​

Test: Factorisation Factor Theorem - Question 12
Save

x+1 is a factor of p(x) = x3+3x2+3x+1, so what is the value of p(-1)

Test: Factorisation Factor Theorem - Question 13
Save

If (x-1) is a factor of ax – a, then find the value of a​

Detailed Solution: Question 13

ANSWER :- d

Solution :- f(x) = ax - a……………………..(1)

x - 1 = 0

x = 1

Putting in eq(1)

(1)x - 1 => x - 1

For eg :- if we put x = 100

Putting in eq(1)

(100)x - 100 => x - 100

So, all the values of a

Test: Factorisation Factor Theorem - Question 14
Save

For a polynomial p(x), p(-1) and p(2) are both equal to zero .So, we can conclude that,

Test: Factorisation Factor Theorem - Question 15
Save

For a polynomial, x2 – 3x +2, which of the following is a factor ?

Test: Factorisation Factor Theorem - Question 16
Save

If (2x + 5) is a factor of 2x2 – k, then the value of k is.

Detailed Solution: Question 16

Let p(x) = 2x2 − k
Since, (2x+5) is a factor of p(x), then by factor 
theorem,

Test: Factorisation Factor Theorem - Question 17
Save

(x + 2) is a factor of 2x3 + 5x2 - x - k. The value of k is:

Test: Factorisation Factor Theorem - Question 18
Save

If x-2 is a factor of ax2-x-6, so what should be the value of a?

Test: Factorisation Factor Theorem - Question 19
Save

Find the value of p(2) if p(x) has (x-2) as its factor

Test: Factorisation Factor Theorem - Question 20
Save

Which of the following polynomials has -3 as a zero?

5 docs|319 tests
Join Course
Information about Test: Factorisation Factor Theorem Page
In this test you can find the Exam questions for Test: Factorisation Factor Theorem solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Factorisation Factor Theorem, EduRev gives you an ample number of Online tests for practice
Download as PDF

About this Class 9 Practice Test

This test contains 20 MCQs on Factorisation Factor Theorem with detailed solutions for each question. It is part of the Online MCQ Tests for Class 9 course on EduRev, designed to align with the current Class 9 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

Explore more Class 9 Study Resources

If you found this Factorisation Factor Theorem MCQ Test helpful, you can further enhance your Class 9 preparation with in-depth courses on EduRev, for all the subjects and topics available in Online MCQ Tests for Class 9 course. The course offers:
  • Video Lectures: covering all the topics of Online MCQ Tests for Class 9
  • Notes for Revision: offering revision notes, important questions, summaries, flashcards, cheatsheets & more for Class 9 preparation
  • MCQ Test: variety of questions as per the pattern of Class 9 exam
Signup to see your scores go up
within 7 days!
Takes less than 10 seconds to signup