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If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
- a)10
- b)–10
- c)5
- d)–5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If one zero of the quadratic polynomial x2+ 3x + k is 2, then the valu...
Given that 2 is the zero of the quadratic polynomial x2 + 3x + k.
⇒ (2)2 + 3(2) + k = 0
⇒ 4 + 6 + k = 0
⇒ k = -10
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Community Answer
If one zero of the quadratic polynomial x2+ 3x + k is 2, then the valu...
Given Problem
We have the quadratic polynomial:
x² + 3x + k, where one of the zeros is 2. We need to find the value of k.
Understanding Zeros of a Polynomial
- A zero (root) of a polynomial is a value of x that makes the polynomial equal to zero.
- If 2 is a zero, we can substitute x = 2 into the polynomial and set it equal to zero.
Substituting the Zero
Let's substitute x = 2 into the polynomial:
- 2² + 3(2) + k = 0
Now, calculate:
- 4 + 6 + k = 0
Simplifying the Equation
- Combine the constants:
10 + k = 0
- Now, isolate k:
k = -10
Conclusion
The value of k that satisfies the condition that one zero of the polynomial is 2 is k = -10.
Thus, the correct answer is option 'B'.
We have the quadratic polynomial:
x² + 3x + k, where one of the zeros is 2. We need to find the value of k.
Understanding Zeros of a Polynomial
- A zero (root) of a polynomial is a value of x that makes the polynomial equal to zero.
- If 2 is a zero, we can substitute x = 2 into the polynomial and set it equal to zero.
Substituting the Zero
Let's substitute x = 2 into the polynomial:
- 2² + 3(2) + k = 0
Now, calculate:
- 4 + 6 + k = 0
Simplifying the Equation
- Combine the constants:
10 + k = 0
- Now, isolate k:
k = -10
Conclusion
The value of k that satisfies the condition that one zero of the polynomial is 2 is k = -10.
Thus, the correct answer is option 'B'.
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Question Description
If one zero of the quadratic polynomial x2+ 3x + k is 2, then the value of k isa)10b)–10c)5d)–5Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If one zero of the quadratic polynomial x2+ 3x + k is 2, then the value of k isa)10b)–10c)5d)–5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one zero of the quadratic polynomial x2+ 3x + k is 2, then the value of k isa)10b)–10c)5d)–5Correct answer is option 'B'. Can you explain this answer?.
If one zero of the quadratic polynomial x2+ 3x + k is 2, then the value of k isa)10b)–10c)5d)–5Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If one zero of the quadratic polynomial x2+ 3x + k is 2, then the value of k isa)10b)–10c)5d)–5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one zero of the quadratic polynomial x2+ 3x + k is 2, then the value of k isa)10b)–10c)5d)–5Correct answer is option 'B'. Can you explain this answer?.
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