SOLUTION: Use either long or synthetic division to divide 4x^3-7x+6 by x+2. Indicate the quotient and remainder.

Question 201802: Use either long or synthetic division to divide 4x^3-7x+6 by x+2. Indicate the quotient and remainder.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
(4x^3 +0x^2 -7x +6 ) / (x+2),,,ineither case add ( 0x^2 term)
.
,,,,-2,,,,,4,,,,0,,,,-7,,,,6
,,,,,,,,,,,,,,,,-8,,,16,,,-18
,,,,,,,,,,___________________
,,,,,,,,,,,4,,,,-8,,,9,,,,-12,,,,,rem = -12
.
4x^2 -8x +9 { - 12/(x+2) }
.
check by (x+2)(4x^2 -8x+9) = 4x^3 +0x^2 -7x +18
then adding rem of (-12) results in 4x^3 -7x +6,,,,as original,,,ok
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