- #1
songoku
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- Homework Statement
- Given that ##f(x)## is divisible by ##(x-1)##, then the remainder when ##f(x)## is divided by ##(x-1)(x+1)## is
a. ##- \frac{f(-1)}{2} (1+x)##
b. ##- \frac{f(-1)}{2} (1-x)##
c. ##\frac{f(-1)}{2} (1+x)##
d. ##\frac{f(-1)}{2} (1-x)##
e. ##\frac{f(-1)}{2} (x-1)##
- Relevant Equations
- polynomial
##f(x)## is divisible by ##(x-1) \rightarrow f(1) = 0## ##f(x) = Q(x).(x-1)(x+1) + R(x)## where ##Q(x)## is the quotient and ##R(x)## is the remainderSeeing all the options have ##f(-1)##, I tried to find ##f(-1)##:
##f(-1) = R(-1)##
I do not know how to continue
Thanks
##f(-1) = R(-1)##
I do not know how to continue
Thanks