Is (x-1)(x+2)(x+3) a factor of (x3+6x2+3x-10)?

Question

please explain why... thank you

Answer 1

Favorite Answer

x3+6x2+3x-10

x=1

1+6+3-10=0

TRUE

So x-1 is factor of x3+6x2+3x-10

x=-2

-8+24-6-10= 0

TRUE

So x+2 is also factor x3+6x2+3x-10

x=3

-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

Answer 2

(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