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Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is ?
Most Upvoted Answer
Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is...
Introduction:
Let's consider a polynomial f(X) such that f[-1/2] = 0. We need to determine one of the factors of f(X) based on this information. To solve this problem, we will use the concept of polynomial factor theorem.
Polynomial Factor Theorem:
The polynomial factor theorem states that if a polynomial f(X) has a root r, then (X-r) is a factor of f(X). In other words, if f(r) = 0, then (X-r) is a factor of f(X).
Explanation:
Given that f[-1/2] = 0, we know that -1/2 is a root of the polynomial f(X). Therefore, (X-(-1/2)) = (X+1/2) is a factor of f(X) according to the polynomial factor theorem.
Conclusion:
Hence, one of the factors of f(X) is (X+1/2).
Let's consider a polynomial f(X) such that f[-1/2] = 0. We need to determine one of the factors of f(X) based on this information. To solve this problem, we will use the concept of polynomial factor theorem.
Polynomial Factor Theorem:
The polynomial factor theorem states that if a polynomial f(X) has a root r, then (X-r) is a factor of f(X). In other words, if f(r) = 0, then (X-r) is a factor of f(X).
Explanation:
Given that f[-1/2] = 0, we know that -1/2 is a root of the polynomial f(X). Therefore, (X-(-1/2)) = (X+1/2) is a factor of f(X) according to the polynomial factor theorem.
Conclusion:
Hence, one of the factors of f(X) is (X+1/2).
Community Answer
Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is...
We will just reverse it
-1/2=X
-1=2X
0= 2X+1
-1/2=X
-1=2X
0= 2X+1
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Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is ?
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Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is ? 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 Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is ?.
Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is ? 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 Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f(X) be a polynomial such that f[-1/2]=0, then a factor of f(X) is ?.
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