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Question
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 3x3 + 7x2 – 5x + 1
Solution
Let x + 3 = 0
⇒ x = -3
Substituting the value of x in f(x),
f(x) = 3x3 + 7x2 – 5x + 1
= 3(–3)3 + 7(–3)2 – 5(–3) + 1
= –81 + 63 + 15 + 1
= –2
Hence Reminder = –2.
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