how do I do (m^4+3m^3-26m^2-2m-24)÷(m-4) ?(please show work)

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11-09-2017
Mathematics

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how do I do (m^4+3m^3-26m^2-2m-24)÷(m-4) ?(please show work)

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sodo3026 sodo3026 · Answer 1 · 2017-09-22T00:11:00+02:00

(m^4+3m^3-26m^2-2m-24)÷(m-4)

step 1: m^4+3m^3+26m^2-2m-24
   ----------------------------------
   m-4

step 2: m^4+4m^3+7m^3-28m^2+2m^2-8m+6m-24
   ----------------------------------------------------------
   m-4
step 3: m^3 (m-4)+7m^2x(m-4)+2mx(m-4)+6(m-4)
   ---------------------------------------------------------
   m-4
step 4: (m-4)x(m^3+7m^2+2m+6)
      ----------------------------------
   m-4
step 5: (m-4)
   --------- cancelled out
   m-4
answer: m^3+7m^2+2m+6