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JEE Exam  >  JEE Questions  >  If the expression x2 – 11x + a and x2 &... Start Learning for Free
If the expression x2 – 11x + a  and x2 – 14x + 2a must have a common factor and a ≠ 0, then, the common factor is
  • a)
    (x – 3)
  • b)
    (x – 6)
  • c)
    (x – 8)
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If the expression x2 – 11x + a and x2 – 14x + 2a must have...
Here Let x – α is the common factor then x = α is root of the corresponding equation
∴ α2 – 11α + α = 0
α2  – 14α + 2α = 0
Subtracting 3α – α = 0
⇒  α = α/3

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If the expression x2 – 11x + a and x2 – 14x + 2a must have...
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If the expression x2 – 11x + a and x2 – 14x + 2a must have a common factor and a ≠ 0, then, the common factor isa)(x – 3)b)(x – 6)c)(x – 8)d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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