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

#### 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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