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Question
Find the remainder when 3x3 – 4x2 + 7x – 5 is divided by (x + 3)
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Solution
p(x) = 3x3 – 4x2 + 7x – 5
When it is divided by x + 3,
p(–3) = 3(–3)3 – 4(–3)2 + 7(–3) – 5
= 3(–27) – 4(9) – 21 – 5
= – 81 – 36 – 21 – 5
= –143
The remainder is –143.
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