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Question

Find the remainder when p(x) = 4x3 + 8x2 − 17x + 10 is divided by (2x − 1).

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Solution

Let:
px=4x3+8x2-17x+10
And,2x-1=0x=12
By the remainder theorem, we know that when px is divided by 2x-1, the remainder is p12.
Thus, we have:
p12=4×123+8×122-17×12+10
=12+2-172+10=4

∴ Remainder = 4

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