if x-a is a factor of x3-3x2a+2a2x+b than b=
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Step-by-step explanation:
Let P(x)=x
3
−3x
2
a+2a
2
x+b
Given, (x−a) is a factor of P(x)
∴P(a)=0
⇒(a)
3
−3(a)
2
a+2a
2
(a)+b=0
⇒a
3
−3a
3
+2a
3
+b=0
⇒3a
3
−3a
3
+b=0
⇒b=0
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