Given the polynomial:
Let's use synthetic division to detetrmine whether (x - 6) is a factor of the polynomial.
Set x - 6 to zero and solve for x.
x - 6 = 0
Add 6 to both sides:
x - 6 + 6 = 0 + 6
x = 6
Let's divide the coefficients in the polynomial by 6.
We have the synthetic division below:
The last value in the result line is the remainder.
After dividing the polynomial, we can see there is no remainder.
Since there is no remainder, we can say x-6 is a factor of the given polynomial.
ANSWER:
Yes, it is a factor