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Question

Find the remainder using the remainder theorem (4 - 53 + 2 - 2 + 6) ÷ ( + 4)


A

60

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B

606

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C

660

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D

600

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Solution

The correct option is B

606


Let p(x) = 4 - 53 + 2 - 2 + 6

Remainder is p( -4).

p( -4 ) = ( -4 )4 - 5( -4 )3 + ( -4 )2 - 2( -4 ) + 6

= 256 + 320 + 16 + 8 + 6 = 606


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