When f(m) = m5+5m4–3m+7 is divided by (m–2), then the remainder is ___________.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 113.
m - 2 = 0
⇒ m = 2
f(m) = m5 + 5m4 - 3m + 7
⇒ f(2) = (2)5 + 5(2)4 - 3(2) + 7
= 32 + 5(16) - 6 + 7
= 32 + 80 - 6 + 7
= 113
Therefore, the remainder is 113.