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16-01-2019
Mathematics

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Divide p(x) = x4 + 6x3 + 7x2 − 6x − 8 by x + 4 and by x − 3 to find the remainder in each case. Make sure to use the remainder theorem.

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LammettHash LammettHash

18-01-2019

The remainder theorem says that dividing a polynomial [tex]p(x)[/tex] by [tex]x-c[/tex] leaves a remainder of [tex]p(c)[/tex]. Here, [tex]c=-4[/tex], then [tex]c=3[/tex].

[tex]p(-4)=0[/tex]

[tex]p(3)=280[/tex]

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