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Find the reminder when p(x)=4x4+6x3+6x+6p(x)=4x^4+6x^3+6x+6 is divided by x+2x+2

A8

B12

C10

D14

Answer:

C. 10

Read Explanation:

x+2=0x+2=0

    x=2\implies{x=-2}

p(x)=4x4+6x3+6x+6p(x)=4x^4+6x^3+6x+6

p(2)=4×24+6×23+6×2+6p(-2)=4\times{{-2}^4}+6\times{{-2}^3}+6\times{-2}+6

=644812+6=64-48-12+6

=10=10


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