SOLUTION: (x 3 - 5x 2 + 4x + 7 ) ÷ (x - 1)

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Question 672209: (x 3 - 5x 2 + 4x + 7 ) ÷ (x - 1)
Answer by lwsshak3(11628) About Me  (Show Source):
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(x 3 - 5x 2 + 4x + 7 ) ÷ (x - 1)
using long division:
..........x^2...-4x.........
...x-1|x^3...-5x^2.... 4x...7...
..........x^3....-x^2..................
....................-4x^2.....4x........
....................-4x^2.....4x.......
........................0.........0.....7.....
Quotient:(x^2-4x)+Remainder=7
Check:
divisor*quotient=dividend
(x-1)(x^2-4x)+7=(x^3-5x^2+4x+7 )