Is (x-1)(x+2)(x+3) a factor of (x3+6x2+3x-10)?
please explain why... thank you
- DOVELv 61 decade agoFavorite Answer
So x-1 is factor of x3+6x2+3x-10
So x+2 is also factor x3+6x2+3x-10
-27+ 54 -9-10 is not zero
So x+3 is not factor of x3+6x2+3x-10
So (x-1)(x+2)(x+3) as a whole is not factor of x3+6x2+3x-10
- railbuffLv 71 decade ago
(x-1)(x+2) is a factor but since x+3 is not than the triple product is not a factor of the given expression.
When the expression is evaluated for x = -3
-27 + 24 -9 - 10 = -22 For x + 3 to be a factor the evaluation would have to be zero.Source(s): Retired math teacher