Question

If x - a is factor of $x^3-3x^2+2a^2$x + b, then the value of b is

• A. 0
• B. 2
• C. 1
• D. 3

Answer 1

The correct option is A

0

$\therefore$ x - a is a factor of $x^3-3x^2+2a^{2}x+b$

Let f(x)= $x^3-3x^2+2a^2$x + b

and x - a = 0, then x = a

$\therefore$ f(a) = $a^3-3a^2.a+2a^2.a+b=a^3-3a^3+2a^3$ + b

= b

$\because$ x - a is a factor of f(x)

$\therefore$ b = 0