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If x 1 is a factor of the polynomial 2x² kx then the value of k is?
Most Upvoted Answer
If x 1 is a factor of the polynomial 2x² kx then the value of k is?
Understanding the question:
To find the value of k in the polynomial 2x² - kx, where x is a factor of the polynomial.
Solution:
Given:
Polynomial: 2x² - kx
Factor: x
Explanation:
- If x is a factor of the polynomial 2x² - kx, it means that x divides the polynomial evenly without any remainder.
- To check if x is a factor, we substitute x = 0 into the polynomial.
- When x = 0, the polynomial becomes 2(0)² - k(0) = 0.
- Since the result is 0, x is a factor of the polynomial.
Using factor theorem:
- According to the factor theorem, if x - a is a factor of a polynomial, then the polynomial can be written as (x - a) * q(x), where q(x) is the quotient.
- In this case, the polynomial 2x² - kx can be factored as x(2x - k).
- Since x is a factor, k = 2.
Conclusion:
The value of k in the polynomial 2x² - kx is 2, as x is a factor of the polynomial.
To find the value of k in the polynomial 2x² - kx, where x is a factor of the polynomial.
Solution:
Given:
Polynomial: 2x² - kx
Factor: x
Explanation:
- If x is a factor of the polynomial 2x² - kx, it means that x divides the polynomial evenly without any remainder.
- To check if x is a factor, we substitute x = 0 into the polynomial.
- When x = 0, the polynomial becomes 2(0)² - k(0) = 0.
- Since the result is 0, x is a factor of the polynomial.
Using factor theorem:
- According to the factor theorem, if x - a is a factor of a polynomial, then the polynomial can be written as (x - a) * q(x), where q(x) is the quotient.
- In this case, the polynomial 2x² - kx can be factored as x(2x - k).
- Since x is a factor, k = 2.
Conclusion:
The value of k in the polynomial 2x² - kx is 2, as x is a factor of the polynomial.
Community Answer
If x 1 is a factor of the polynomial 2x² kx then the value of k is?
X+1=0
x=-1
p(-1) =2×-1sq×k×-1
=2×1×k×-1
=2×k×-1
=-2×K
K=-2
x=-1
p(-1) =2×-1sq×k×-1
=2×1×k×-1
=2×k×-1
=-2×K
K=-2
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If x 1 is a factor of the polynomial 2x² kx then the value of k is?
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If x 1 is a factor of the polynomial 2x² kx then the value of k 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 If x 1 is a factor of the polynomial 2x² kx then the value of k is? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x 1 is a factor of the polynomial 2x² kx then the value of k is?.
If x 1 is a factor of the polynomial 2x² kx then the value of k 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 If x 1 is a factor of the polynomial 2x² kx then the value of k is? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x 1 is a factor of the polynomial 2x² kx then the value of k is?.
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