Find the remainder when f(x) is divided by (x - k)

f(x) = 8x4 + 7x3 + 5x2 - 5x + 35; k = 4

Question

Find the remainder when f(x) is divided by (x - k)

f(x) = 8x4 + 7x3 + 5x2 - 5x + 35; k = 4

anonymous · Answer

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anonymous · Answer

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jhonyy9 · Answer

8x^4 +7x^3 +5x^2 -5x +35 / x -4 = 8x^3 +39x^2 +161x -639
8x^4 -32x^3
-------------
 0     39x^3 +5x^2
        39x^3 -156x^2
       ---------------
          0      161x^2 -5x
                  161x^2 -644x
                ---------------
                     0       -639x +35
                              -639x +2556
                             --------------
                                 0     - 2521 this is the remainder