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Question
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x + 3
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Solution
f(x) = 2x3 – 3x2 + 4x + 7
Let x + 3 = 0, then x = – 3
Substituting the value of x in f(x)
f(–3) = 2(–3)3 – 3(–3)2 + 4(–3) + 7
= 2 x (–27) – 3(9) + 4(–3) + 7
= –54 – 27 – 12 + 7
= – 93 + 7
= – 86
∴ Remainder = – 86.
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