Class 9 Exam > Class 9 Questions > If the polynomial3x3−4x2−17xͨ...
Start Learning for Free
If the polynomial 3x3−4x2−17x−k is exactly divisible by x−3, then the value of ‘k’ is
- a)5
- b)– 6
- c)6
- d)0
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the polynomial3x3−4x2−17x−k is exactly divisible ...
If the polynomial 3x3−4x2−17x−k is exactly divisible by x−3, then
Most Upvoted Answer
If the polynomial3x3−4x2−17x−k is exactly divisible ...
Given polynomial: 3x^3 + 4x^2 + 17xk
To check if the polynomial is exactly divisible by x^3, we need to divide the polynomial by x^3 and check if the remainder is 0.
Let's perform the division:
Dividend: 3x^3 + 4x^2 + 17xk
Divisor: x^3
We start by dividing the highest power term of the dividend by the highest power term of the divisor:
3x^3 / x^3 = 3
Now, we multiply the entire divisor (x^3) by the quotient (3) and subtract it from the dividend:
3(x^3) = 3x^3
3x^3 - 3x^3 = 0
Next, we bring down the next term from the dividend, which is 4x^2:
0 + 4x^2 = 4x^2
We repeat the process of dividing the highest power term of the remaining polynomial (4x^2) by the highest power term of the divisor (x^3):
4x^2 / x^3 = 0
Since the highest power term of the dividend is smaller than the highest power term of the divisor, we can conclude that the polynomial is not divisible by x^3.
Therefore, the value of k is irrelevant in determining whether the polynomial is exactly divisible by x^3. The correct answer is option 'B' which is 6.
To check if the polynomial is exactly divisible by x^3, we need to divide the polynomial by x^3 and check if the remainder is 0.
Let's perform the division:
Dividend: 3x^3 + 4x^2 + 17xk
Divisor: x^3
We start by dividing the highest power term of the dividend by the highest power term of the divisor:
3x^3 / x^3 = 3
Now, we multiply the entire divisor (x^3) by the quotient (3) and subtract it from the dividend:
3(x^3) = 3x^3
3x^3 - 3x^3 = 0
Next, we bring down the next term from the dividend, which is 4x^2:
0 + 4x^2 = 4x^2
We repeat the process of dividing the highest power term of the remaining polynomial (4x^2) by the highest power term of the divisor (x^3):
4x^2 / x^3 = 0
Since the highest power term of the dividend is smaller than the highest power term of the divisor, we can conclude that the polynomial is not divisible by x^3.
Therefore, the value of k is irrelevant in determining whether the polynomial is exactly divisible by x^3. The correct answer is option 'B' which is 6.
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
|
|
Top Courses for Class 9View all
If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer?
Question Description
If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer? 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 If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer?.
If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer? 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 If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer?.
Solutions for If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer? 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 If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the polynomial3x3−4x2−17x−k is exactly divisible byx−3, then the value of ‘k’ isa)5b)– 6c)6d)0Correct answer is option 'B'. Can you explain this answer? 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