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The value of k for which x + 1 is a factor of the polynomial x3 + x2 + x + k is :-
- a)0
- b)2
- c)1
- d)-1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The value of k for which x + 1 is a factor of the polynomial x3+ x2+ x...
Given polynomial is x³ - x² + x - k.
To check if x - 1 is a factor, we can check if the value of the polynomial is 0 when x = 1.
Substituting x = 1, we get:
1³ - 1² + 1 - k = 1 - 1 + 1 - k = 0 - k = -k
So, for x - 1 to be a factor, we need -k = 0, which means k = 0.
Therefore, option (a) is incorrect and the correct answer is option (c), k = 1.
To check if x - 1 is a factor, we can check if the value of the polynomial is 0 when x = 1.
Substituting x = 1, we get:
1³ - 1² + 1 - k = 1 - 1 + 1 - k = 0 - k = -k
So, for x - 1 to be a factor, we need -k = 0, which means k = 0.
Therefore, option (a) is incorrect and the correct answer is option (c), k = 1.
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Community Answer
The value of k for which x + 1 is a factor of the polynomial x3+ x2+ x...
Hi!
I used the remainder theorem over here, to conclude the second statement.
[Therefore, p(-1)=0]
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The value of k for which x + 1 is a factor of the polynomial x3+ x2+ x + k is :-a)0b)2c)1d)-1Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The value of k for which x + 1 is a factor of the polynomial x3+ x2+ x + k is :-a)0b)2c)1d)-1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of k for which x + 1 is a factor of the polynomial x3+ x2+ x + k is :-a)0b)2c)1d)-1Correct answer is option 'C'. Can you explain this answer?.
The value of k for which x + 1 is a factor of the polynomial x3+ x2+ x + k is :-a)0b)2c)1d)-1Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The value of k for which x + 1 is a factor of the polynomial x3+ x2+ x + k is :-a)0b)2c)1d)-1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of k for which x + 1 is a factor of the polynomial x3+ x2+ x + k is :-a)0b)2c)1d)-1Correct answer is option 'C'. Can you explain this answer?.
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