x^3 + 12x^2 + 47x + 60.
a. x+5, use the opposite sign -5
Let's see if x+5 is the one that's not a factor.
-5|1 12 47 60
| -5 -35 -60
1 7 12 0
No, that leaves a remainder of 0
-------------------------------------
b. x+4, use the opposite sign -4
Let's see if x+4 is the one that's not a factor.
-4|1 12 47 60
| -4 -32 -60
1 8 15 0
No, that leaves a remainder of 0.
-------------------------------------
c. x+3, use the opposite sign -3
Let's see if x+3 is the one that's not a factor.
-3|1 12 47 60
| -3 -27 -60
1 9 20 0
No, that leaves a remainder of 0
-------------------------------------
d. x+2, use the opposite sign -2
Let's see if x+2 is the one that's not a factor.
-2|1 12 47 60
| -2 -24 -46
1 10 23 14
Yes, that does not leave a remainder of 0,
so x+2 is not a factor.
Edwin
