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If 2x + 1 is a Factor of 2x2 + Ax – 3, Find the Value of A. - ICSE Class 10 - Mathematics

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Question

If 2x + 1 is a factor of 2x2 + ax – 3, find the value of a.

Solution

`2x+1 ` is a factor of f(x) =`2x^2+ax-3` 

∴ `f((-1)/2)=0` 

⇒`2((-1)/2)^2+a((-1)/2)-3=0` 

⇒`1/2-a/2=3` 

⇒`1-a=6` 

⇒`a=-5` 

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Solution If 2x + 1 is a Factor of 2x2 + Ax – 3, Find the Value of A. Concept: Factor Theorem.
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