Question:
If the expression x²-11x+a and ax²-14x+2a must have a common factor, then the common factor is:
If the expression x²-11x+a and ax²-14x+2a must have a common factor, then the common factor is:
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Common factor ⇒ common root.
Updated On: Mar 17, 2026
- (x-3)
- (x-6)
- (x-8)
- None of these
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The Correct Option is B
Solution and Explanation
Let common factor be (x-k).
Then both expressions vanish at x=k:
k²-11k+a=0
ak²-14k+2a=0
Eliminating a gives k=6.
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