Answer:
I can use also factor / Remainder theorem
just substitute the value of b to that expression
value of b is 8
f(8) = (8)⁴-17(8)³+81(8)²-65(8) -56
f(8) = 4096 - 8704 + 5184 -520 - 56
f(8) = 4096 - 3520 - 576
f(8) = 4096 - 4096
f(8) = 0
Therefore (b-8) is a factor of (b⁴-17b³+81b²-65b-56)
Step-by-step explanation:
Solved by Synthetic Division, rational root
and factor/remainder theorem
