SOLUTION: Use synthetic division to find the quotient and the remainder.
(3x^4-2x^2+2)/(x-1/4)
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Question 1129057: Use synthetic division to find the quotient and the remainder.
(3x^4-2x^2+2)/(x-1/4)
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use synthetic division to find the quotient and the remainder.
(3x^4-2x^2+2)/(x-1/4)
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(1/4)...3....0.......-2........0..........2
........3...3/4...-29/16.....-29/64...|-29/256+(512/256) = 483/256
Quotient:: 3x^3 + (3/4)x^2 - (29/16)x -29/64
Remainder:: 483/256
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Cheers,
Stan H.
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Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
write down the coefficients of the polynomial and put the zero from ( ) at the left
|| −−−−−− −−−−−− −−−−−− −−−−−−
bring down the leading coefficient to the bottom row.
|| −−−−−− −−−−−− −−−−−− −−−−−−
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
−−−−
multiply by the number on the left, and carry the result into the next column:
|| −−−−−− −−−−−− −−−−−− −−−−−−
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
−−−−
add down the column:
|| −−−−−− −−−−−− −−−−−− −−−−−−
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
−−−−3−−−−−−−
multiply by the number on the left, and carry the result into the next column:
|| −−−−−− −−−−−− −−−−−− −−−−−−
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
−−−−3−−−−−−−
add down the column:
|| −−−−−− −−−−−− −−−−−− −−−−−−
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
−−−−−−−−−−−−−−−−−−−−..
multiply by the number on the left, and carry the result into the next column:
|| −−−−−− −−−−−− −−−−−− −−−−−−
−−−−−−−−−−−−−−−−−−−−−−−−−−−..−−−−−−−−−−−−−−−−−
−−−−−−−−−−−−−−−−−−−−..
add down the column:
|| −−−−−− −−−−−− −−−−−− −−−−−−
−−−−−−−−−−−−−−−−−−−−−−−−−−−..−−−−−−−−−−−−−−−−−
−−−−−−−−−−−−−−−−−−−−..−−−..
multiply by the number on the left, and carry the result into the next column:
|| −−−−−− −−−−−− −−−−−− −−−−−−
−−−−−−−−−−−−−−−−−−−−−−−−−−−..−−−−−−−−−−−−−−−−
−−−−−−−−−−−−−−−−−−−−..−−−..
add down the column:
|| −−−−−− −−−−−− −−−−−− −−−−−−
−−−−−−−−−−−−−−−−−−−−−−−−−−−..−−−−−−−−−−−−−−−−
−−−−−−−−−−−−−−−−−−−−..−−−..−−−−−
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