To check if x+5 is a factor of x^3+13x^2+31x-45, we can use synthetic division.
Using synthetic division:
-5 | 1 13 31 -45
|______ -5 10 -55
1 8 41 -100
The result of the synthetic division is 1x^2 + 8x + 41 - 100/(x+5).
Since the remainder is not equal to zero, x+5 is not a factor of x^3+13x^2+31x-45.
Determine whether the given binomial is a factor of x^3+13x^2+31x-45
x+5
1 answer