When x
13
+1 is divided by x−1, then what is the remainder?
- A0
- B1
- C2
- D-1
Solution & Step-by-step Explanation
According to the Remainder Theorem, when a polynomial expression f(x) is divided by a linear term (x−c), the resulting remainder is equal to f(c).
Here, our polynomial function is:
f(x)=x
13
+1
The divisor is x−1, so we set c=1.
Finding the remainder by evaluating f(1):
Remainder=f(1)=(1)
13
+1
Remainder=1+1=2
Here, our polynomial function is:
f(x)=x
13
+1
The divisor is x−1, so we set c=1.
Finding the remainder by evaluating f(1):
Remainder=f(1)=(1)
13
+1
Remainder=1+1=2