All Courses
Get the App Signup / Login
Sign in Open App
Class 9 Exam  >  Class 9 Tests  >  Online MCQ Tests for Class 9  >  Test: Factorisation Factor Theorem - Class 9 MCQ

Test: Factorisation Factor Theorem - Class 9 MCQ


Test Description

20 Questions MCQ Test Online MCQ Tests for Class 9 - Test: Factorisation Factor Theorem

Test: Factorisation Factor Theorem for Class 9 2024 is part of Online MCQ Tests for Class 9 preparation. The Test: Factorisation Factor Theorem questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Factorisation Factor Theorem MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Factorisation Factor Theorem below.
Solutions of Test: Factorisation Factor Theorem questions in English are available as part of our Online MCQ Tests for Class 9 for Class 9 & Test: Factorisation Factor Theorem solutions in Hindi for Online MCQ Tests for Class 9 course. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free. Attempt Test: Factorisation Factor Theorem | 20 questions in 20 minutes | Mock test for Class 9 preparation | Free important questions MCQ to study Online MCQ Tests for Class 9 for Class 9 Exam | Download free PDF with solutions
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 for Test: Factorisation Factor Theorem - 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 for Test: Factorisation Factor Theorem - 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

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Factorisation Factor Theorem - Question 3
Save

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

Detailed Solution for Test: Factorisation Factor Theorem - 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 for Test: Factorisation Factor Theorem - 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 for Test: Factorisation Factor Theorem - 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 for Test: Factorisation Factor Theorem - 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|314 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

Top Courses for Class 9

Download as PDF

Top Courses for Class 9

Important Questions for Factorisation Factor Theorem

Find all the important questions for Factorisation Factor Theorem at EduRev.Get fully prepared for Factorisation Factor Theorem with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Factorisation Factor Theorem syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Factorisation Factor Theorem resources.

Factorisation Factor Theorem MCQs with Answers

Prepare for the Factorisation Factor Theorem within the Class 9 exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Factorisation Factor Theorem Online MCQ Tests for Class 9

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Factorisation Factor Theorem with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up
within 7 days!
Takes less than 10 seconds to signup