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If -4 is the Zero of the polynomial p( x) = X square + 11x + k then calculate k?
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If -4 is the Zero of the polynomial p( x) = X square + 11x + k then ca...
Introduction:
In this problem, we are given a polynomial p(x) and we need to find the value of k such that -4 is a zero of p(x).
Given:
p(x) = x^2 + 11x + k
Zero of p(x) = -4
Solution:
We know that if -4 is a zero of p(x), then p(-4) = 0.
Let's substitute -4 in the given polynomial to get:
p(-4) = (-4)^2 + 11(-4) + k = 16 - 44 + k = k - 28
As we know that p(-4) = 0, we can write:
k - 28 = 0
Therefore, k = 28.
Conclusion:
Hence, we have found that k = 28, such that -4 is a zero of the given polynomial p(x) = x^2 + 11x + k.
In this problem, we are given a polynomial p(x) and we need to find the value of k such that -4 is a zero of p(x).
Given:
p(x) = x^2 + 11x + k
Zero of p(x) = -4
Solution:
We know that if -4 is a zero of p(x), then p(-4) = 0.
Let's substitute -4 in the given polynomial to get:
p(-4) = (-4)^2 + 11(-4) + k = 16 - 44 + k = k - 28
As we know that p(-4) = 0, we can write:
k - 28 = 0
Therefore, k = 28.
Conclusion:
Hence, we have found that k = 28, such that -4 is a zero of the given polynomial p(x) = x^2 + 11x + k.
Community Answer
If -4 is the Zero of the polynomial p( x) = X square + 11x + k then ca...
(-4 )^2+11(-4)+k=0
16-44+k=0
-28+k=0
k=28
16-44+k=0
-28+k=0
k=28
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If -4 is the Zero of the polynomial p( x) = X square + 11x + k then calculate k?
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If -4 is the Zero of the polynomial p( x) = X square + 11x + k then calculate k? 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 -4 is the Zero of the polynomial p( x) = X square + 11x + k then calculate k? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If -4 is the Zero of the polynomial p( x) = X square + 11x + k then calculate k?.
If -4 is the Zero of the polynomial p( x) = X square + 11x + k then calculate k? 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 -4 is the Zero of the polynomial p( x) = X square + 11x + k then calculate k? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If -4 is the Zero of the polynomial p( x) = X square + 11x + k then calculate k?.
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