InterviewSolution
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InterviewSolution
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Find the value of k, if the expression x2 + kx + 1 is factorizable into two linear factors ……………… A) either k ≥ 2 or k ≤ -2 B) k ≥ 2 C) k ≤ -2 D) neither k ≥ 2 nor k ≤ – 2 |
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Answer» Correct option is (A) either k ≥ 2 or k ≤ -2 If expression \(x^2+kx+1\) is factorizable into two linear factors then \(k^2-4\times1\times1\geq0\) \((\because b^2-4ac\geq0\) for two linear factors) \(\Rightarrow\) \(k^2-4\geq0\) \(\Rightarrow\) \(k^2\geq4\) \(\Rightarrow\) either \(k\geq2\) or \(k\leq-2\) Correct option is A) either k ≥ 2 or k ≤ -2 |
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