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Question
Check whether p(x) is a multiple of g(x) or not
p(x) = x3 – 5x2 + 4x – 3, g(x) = x – 2
Solution
p(x) = x3 – 5x2 + 4x – 3
p(2) = (2)3 – 5(2)2 + 4(2) – 3
= 8 – 5(4) + 8 – 3
= 8 – 20 + 8 – 3
= 16 – 23
= – 7
p(2) ≠ 0
∴ p(x) is not a multiple of g(x)
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