Answer:
Step-by-step explanation:
Remark
If x - 2 is a factor it means that the whole equation will return 0 when x = 2. That's because x - 2 will go to 0. It doesn't matter what the rest of the equation factors into. The x - 2 is enough to make it all go to 0.
Equation
y = x^4 - 3x^3 +2x - 8
Substitute and Solve
x = 2
y = 2^4 - 3*2^3 + 2(3) - 8
y = 16 - 24 + 6 - 8
y = - 8 - 2
y = - 10
Conclusion
x - 2 is not a factor of this equation.
