if x-a is a factor of x^3-3x^2a+b then the value of b
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Let P(x)=x3−3x2a+2a2x+b
Given, (x−a) is a factor of P(x)
∴P(a)=0
⇒(a)3−3(a)2a+2a2(a)+b=0
⇒a3−3a3+2a3+b=0
⇒3a3−3a3+b=0
⇒b=0
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