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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)
  • 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'.
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