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If x-a is a factor of x^3-3x^2a+2a^2x+b ...

If `x-a` is a factor of `x^3-3x^2a+2a^2x+b ,` then the value of `b` is 0 (b) 2 (c) 1 (d) 3
`x-a=0,x=a`
`a^3-3a^2(a)+2a^2(a)+b=0`
`-3a^3+3a^3+b=0`
`b=0`

Text Solution

AI Generated Solution

To find the value of \( b \) such that \( x - a \) is a factor of the polynomial \( x^3 - 3x^2a + 2a^2x + b \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Factor Condition**: Since \( x - a \) is a factor of the polynomial, it implies that when \( x = a \), the polynomial must equal zero. 2. **Substitute \( x = a \)**: ...
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