algebra 2 problem

Question

What is the remainder for this and is 1/8 a factor? I'm lost
f(x) = 8x^4 –x^3 + 8x -1

Answer 1

To get a remainder you need to give a divisor.

 

1/8 would not be a factor, it could be a root or a zero.

 

f(1/8) = 8(1/8)⁴ - (1/8)³ + 8(1/8) - 1

f(1/8) = (1/8)³ - (1/8)³ + 1 - 1

f(1/8) = 0

 

1/8 is a root or zero.