The value of λ for which the expression x ^ 3 + x ^ 2 - 5x + \lambda will be divisible by (x - 2) is:

Algebra and Applications Test 1

Question : 32 of 40

Marks: +1, -0

The value of λ for which the expression

x ^ 3 + x ^ 2 - 5x + λ

will be divisible by

(x - 2)

is:

Solution:

The given expression is

x^3 + x^2 - 5x + λ

Factor of the expression is (x - 2)
Put value of x = 2
In the above expression we get the value of λ

(2)^3 + (2)^2 - 5(2) +λ= 0

8 + 4 - 10 +λ= 0

12 - 10 +λ= 0

λ=- 2

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