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If expression λx3+x2-5x+λ. is divisible by (x-2) then what will be the value of λ?

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Question

If expression `x^3 + x^2 - 5x + λ`. is divisible by `(x - 2)` then what will be the value of λ?

Options

  • 2

  • – 2

  • – 3

  • 4

MCQ
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Solution

– 2

Explanation:

`(x - 2)` is a factor `x` = 2 satisfied.

`2^3 + 2^2 - 10 + lambda` = 0

⇒ λ = – 2

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Algebra (Entrance Exam)
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