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

1 answer:

5 0

(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

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