Class 9 Exam > Class 9 Questions > The remainder when 2xcube-xsquare +3x-2 is di...
Start Learning for Free
The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z?
Most Upvoted Answer
The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 ...
Given:
The expression is 2x^3 - x^2 + 3x - 2.
To Find:
The remainder when the expression is divided by 2x - 1.
Solution:
We can use polynomial long division to find the remainder when the given expression is divided by 2x - 1.
Step 1: Divide the first term of the expression (2x^3) by the first term of the divisor (2x). The quotient is x^2.
Step 2: Multiply the divisor (2x - 1) by the quotient (x^2). The result is (2x^3 - x^2).
Step 3: Subtract the product from the original expression.
(2x^3 - x^2 + 3x - 2) - (2x^3 - x^2) = 3x - 2.
Step 4: Repeat the process with the new expression (3x - 2).
Divide the first term (3x) by the first term of the divisor (2x). The quotient is (3/2).
Step 5: Multiply the divisor (2x - 1) by the new quotient (3/2). The result is (3x - 3/2).
Step 6: Subtract the product from the new expression.
(3x - 2) - (3x - 3/2) = -2 + 3/2 = -1/2.
Step 7: The remainder is -1/2.
Answer:
So, the remainder when 2x^3 - x^2 + 3x - 2 is divided by 2x - 1 is -1/2. Therefore, option (b) -1/2 is the correct answer.
The expression is 2x^3 - x^2 + 3x - 2.
To Find:
The remainder when the expression is divided by 2x - 1.
Solution:
We can use polynomial long division to find the remainder when the given expression is divided by 2x - 1.
Step 1: Divide the first term of the expression (2x^3) by the first term of the divisor (2x). The quotient is x^2.
Step 2: Multiply the divisor (2x - 1) by the quotient (x^2). The result is (2x^3 - x^2).
Step 3: Subtract the product from the original expression.
(2x^3 - x^2 + 3x - 2) - (2x^3 - x^2) = 3x - 2.
Step 4: Repeat the process with the new expression (3x - 2).
Divide the first term (3x) by the first term of the divisor (2x). The quotient is (3/2).
Step 5: Multiply the divisor (2x - 1) by the new quotient (3/2). The result is (3x - 3/2).
Step 6: Subtract the product from the new expression.
(3x - 2) - (3x - 3/2) = -2 + 3/2 = -1/2.
Step 7: The remainder is -1/2.
Answer:
So, the remainder when 2x^3 - x^2 + 3x - 2 is divided by 2x - 1 is -1/2. Therefore, option (b) -1/2 is the correct answer.
Community Answer
The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 ...
Answer is b
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z?
Question Description
The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z?.
The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z?.
Solutions for The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z? defined & explained in the simplest way possible. Besides giving the explanation of
The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z?, a detailed solution for The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z? has been provided alongside types of The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z? theory, EduRev gives you an
ample number of questions to practice The remainder when 2xcube-xsquare +3x-2 is divided by 2x-1 is. a) 1/2 b) -1/2 c) -3/2 d) z? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup