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Here is your answer,
Given,
p(x) = 2x2-3x +7a
2 is zero of p(x)
p(x) = 0
2x2-3x+7a = 0
2(2)2 -3(2)+7a = 0
8-6+7a =0
2+7a = 0
7a = 0-2
7a = -2
a = -2/7
Verification :
8-6+7(-2/7)=0
By cancelling 7, we get
8-6+(-2) =0
8-6-2 =0
8-8= 0
0=0
So, a= -2/7
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