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If -2 is the zero of polynomial 3x² + 4x + 2k .
Find the value of k?
Find the value of k?
Most Upvoted Answer
If -2 is the zero of polynomial 3x² + 4x + 2k .Find the value of k?
Understanding the Problem
To find the value of \( k \) for the polynomial \( 3x^2 + 4x + 2k \) given that \( -2 \) is a zero, we need to substitute \( -2 \) into the polynomial and set the result equal to zero.
Substituting -2 into the Polynomial
- The polynomial is \( 3x^2 + 4x + 2k \).
- Substitute \( x = -2 \):
\[
3(-2)^2 + 4(-2) + 2k = 0
\]
- Calculate \( 3(-2)^2 \):
\[
3(4) = 12
\]
- Calculate \( 4(-2) \):
\[
4(-2) = -8
\]
- Combine these results:
\[
12 - 8 + 2k = 0
\]
Simplifying the Equation
- We simplify:
\[
4 + 2k = 0
\]
- Now, isolate \( k \) by subtracting 4 from both sides:
\[
2k = -4
\]
- Finally, divide by 2:
\[
k = -2
\]
Conclusion
The value of \( k \) is:
- \( k = -2 \)
This means that for \( -2 \) to be a zero of the polynomial \( 3x^2 + 4x + 2k \), \( k \) must equal \( -2 \).
To find the value of \( k \) for the polynomial \( 3x^2 + 4x + 2k \) given that \( -2 \) is a zero, we need to substitute \( -2 \) into the polynomial and set the result equal to zero.
Substituting -2 into the Polynomial
- The polynomial is \( 3x^2 + 4x + 2k \).
- Substitute \( x = -2 \):
\[
3(-2)^2 + 4(-2) + 2k = 0
\]
- Calculate \( 3(-2)^2 \):
\[
3(4) = 12
\]
- Calculate \( 4(-2) \):
\[
4(-2) = -8
\]
- Combine these results:
\[
12 - 8 + 2k = 0
\]
Simplifying the Equation
- We simplify:
\[
4 + 2k = 0
\]
- Now, isolate \( k \) by subtracting 4 from both sides:
\[
2k = -4
\]
- Finally, divide by 2:
\[
k = -2
\]
Conclusion
The value of \( k \) is:
- \( k = -2 \)
This means that for \( -2 \) to be a zero of the polynomial \( 3x^2 + 4x + 2k \), \( k \) must equal \( -2 \).
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If -2 is the zero of polynomial 3x² + 4x + 2k .Find the value of k?
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If -2 is the zero of polynomial 3x² + 4x + 2k .Find the value of 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 -2 is the zero of polynomial 3x² + 4x + 2k .Find the value of k? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If -2 is the zero of polynomial 3x² + 4x + 2k .Find the value of k?.
If -2 is the zero of polynomial 3x² + 4x + 2k .Find the value of 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 -2 is the zero of polynomial 3x² + 4x + 2k .Find the value of k? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If -2 is the zero of polynomial 3x² + 4x + 2k .Find the value of k?.
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