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If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______. - Mathematics

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Question

If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.

Options

  • 10

  • - 10

  • - 5

MCQ
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Solution

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is - 10.

Explanation:

Let f(x) = x2 + 3x + k

f(2) = (2)2 + 3(2) + k = 0

4 + 6 + k = 0

k = - 10

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