when x3+3x2-2x+7 is divided by x+1, the remainder is?
452826
If you set this up as a long division problem with x+1 on the outside and x^3 + 3x^2 - 2x + 7 inside and solve it like a long division problem, you will have x^2 + 2x - 4 on the top and a remainder of 11.  The remainder part is the leftover after the long division - no need to put it over x+1 (when you have 14 divided by 5, you have 2 remainder 4, not 2 remainder 4/5).
672142
it's\n[x(x+2)]/[x*x] -2/3x=\n\n[x+2]/x - 2/3x=\n\n[3[x+2]-2]/3x=\n\n[3x+4]/3x=\n\nx + [4/3]x
823706
2x^2 + 13x + 39 remainder 122\n\ndoes no one know what synthetic division is?  i suppose i only learned it last year...
52440
[x+1]/x^2+10x+5=2x/x^2+x-2\n9x+7=[x+1]/x^2\n9x^3+7x^2=x+1\n9x^3+7x^2-x=1
910422
no \n3x-1>1 \n3x>2 \nx>2/3
55738
3/(x+1)-1/2             =  1/(3x+3)\n3/(x+1)-1/2             =  1/[3(x+1)]          \n\nfactor 3\n\n[3*2-1*(x+1)]/[2*(x+1)] =  1/[3(x+1)]     \n\ncancel common denomenator   (x+1)\n\n[3*2-1*(x+1)]/2         =  1/3\n6-x-1                   =  2*(1/3)\n-x+5                    =  2/3\n-x                      =  2/3-5\n-x                      =  -13/3\nx                       =  13/3\n\ntherefore x equals   13/3
560506
that works... so does this:\n\n-2 x -1 x 1 x 2 x 3 = 12\n\n-2*-1=2\n2*1=2\n2*2=4\n4*3=12
757726
(2x + 3)/(x - 2) =28/(x^2 - 4) + (2x - 3)/(x + 2)\nMultiply through by (x^2 - 4), or (x + 2)(x - 2)\n(2x + 3)(x + 2) =28 + (2x - 3)(x - 2)\n2x^2 + 7x + 6 = 28 + 2x^2 - 7x + 6\n14x = 28\nx = 2
559152
are u sure its not supposed to be the other way around. Cuz that would make a little more sense.\n\nBut if not, then it would probably be:\n1 + ((4s squared - 11) / (s to the 4 - 3s squared -11))\n1 the quotient. the rest the remainder.
884068
2|1 1 -2 -3 -1\n..... 2 6 ..8 10\n----------------\n...1 3 4 ..5 9\n\nSo the quotient is x³ + 3x² + 4x + 5, and the remainder is 9
879152
Multiply (2x+1)/(3x-4) by 7/7 to give 7(2x+1)/7(3x-4)\nMultiply 5/7 by (3x-4)/(3x-4) to give 5(3x-4)/7(3x-4)\n\nNow they have a common denominator you can just add the fractions\n\n(7(2x+1) + 5(3x-4))/7(3x-4)\n\n(14x + 7 + 15x -20)/7(3x-4)\n\n(29x - 13)/7(3x-4)
733649
(4)/(x+7) + (x+3)/(x+7)\n=(4 + (x+3))/(x+7)\n=(4 + x + 3)/(x+7)\n=( x +7)/(x+7)\n=1
821200
(x²+4x+4) / (2x-3) / (x²-4) / (2x²-7x+6)\n\nYou have 4 terms and three divisions, so it's a little unclear if you mean (a/b) / (c/d) or what.  I will try to help to the extent I can.\n\nLet's assume you mean:\n\n[ (x²+4x+4) / (2x-3) ] / [ (x²-4) / (2x²-7x+6) ]\n\nFactor your x² equations to see if you can cancel terms:\n\nx²+4x+4 = (x+2)(x+2)\nx²-4 = (x+2)(x-2)\n2x²-7x+6 = (2x-3)(x-2)\n\nWoohoo - things are looking good!  Now we can rewrite our original problem using these factors:\n\n[ (x²+4x+4) / (2x-3) ] / [ (x²-4) / (2x²-7x+6) ] = \n\n[ (x+2)(x+2) / (2x-3) ] / [ (x+2)(x-2) / (2x-3)(x-2) ] =\n \n[ (x+2)(x+2) / (2x-3) ] * [ (2x-3)(x-2) / (x+2)(x-2) ] =\n\nnotice we can cancel out three terms: (2x-3), (x-2) and (x+2)\n\n[ (x+2)(x+2) / (2x-3) ] * [ (2x-3)(x-2) / (x+2)(x-2) ] =\n\n(x+2)\n\nHope that helped!\n\n~ ♥ ~
527221
The answer is 2x+7 with a remainder of 32
809607
I got 4x² + 2.  It was actually pretty straightforward once you lay it out like a long division problem.\n\nTake 4x² and multiply it by 7x+3i (since the first term will give us 26x³).\n\n4x² * (7x+3i) = 28x³ + 12ix², leaving us with a remainder of 14x + 6i.\n\nNow take (7x+3i) times 2 to get 14x + 6i.\n\nTherefore your answer is 4x² + 2.\n\n~ ♥ ~
190233
When you divide by 3, the remainder must be 0, 1 or 2. \nThen the remainder is 1 , since -5 = 3x(-2)+1\n\nThere are many incorrect answers here, so I will explain clearly.\n\nThe definition of the division of the integer  is :\n\nIf a = b*q + r   (0 ≤ r < |b| ),  then a ÷ b = q remainder r\nIt means the remainder must be non-negative integer.\n\nWell -5 = 3 * (-2) + 1,  then the remainder must be 1.\n\n-2 is wrong !!!!\n\nsource : I am a maths prof.
695008
x times x is not 2x but is x squared.\n\n(x2 + 3x)(x-1)=x3-x2+3x2-3=x3+4x2-3\n(x+4)(x-7)=x2-7x+4x-28=x2-3x-28\n(x3+4x2-3)(x2-3x-28)=x5-3x2-28x2+4x4-12x3-112x2-3x2+9x-84\n\nI believe the answer should be x5+4x4-12x3-146x2+9x-84