Question

If x-a is a factor of x³-3x²a+2a²x+b, then the value of b is
A. 0
B. 2
C. 1
D. 3

Answer 1

Given : If x - a is a factor of x³ - 3x²a + 2a²x + b .

Let f (x) = x³ - 3x²a + 2a²x + b

Since, x - a is a factor of f(x) then, f (a) = 0

⇒ a³ - 3a²a + 2a²a + b = 0  

⇒ a³ - 3a³ + 2a³ + b = 0  

⇒ -  2a³ + 2a³ + b = 0  

⇒ b = 0

Hence, the value of b is 0.

Among the given options option (A) 0 is correct.

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