Answer:
Step-by-step explanation:
According to the remainder theorem, the remainder when f(x) is divided by (x - n) is f(n).
As per question we are given:
Substitute and solve for c:
- 2³ + 6*2² + 2 + c = 2(1³ + 6*1² + 1 + c)
- 8 + 24 + 2 + c = 2(1 + 6 + 1 + c)
- 34 + c = 2(8 + c)
- 34 + c = 16 + 2c
- 2c - c = 34 - 16
- c = 18
Note: I got a different value of c. This may be a result of a typo in the given expression. I provided a guide to solve such problems. Let me know is anything is unclear.
