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CBSE Class 10 Answered

For what value of a is 2x3  + ax2 + 11x + a +3 exactly divisible by (2x- 1)
Asked by miniprasad | 04 May, 2018, 06:28: PM
answered-by-expert Expert Answer
f(x) = 2x3  + ax2 + 11x + a +3
(2x- 1) is a factor of f(x).
Therefore at x = 1/2 , f(x) = 0
After substituting x = 1/2 in f(x) = 0, we get
5a + 35 = 0
Therefore, a = -7

Answered by Yasmeen Khan | 05 May, 2018, 02:52: PM

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