October 3, 2007

Algebra: Multiplication of Polynomials

ProblemGiven PolynomialsSolution
16x+7y and 7x3+2y42x4+12xy+49x3y+14y2
24x4-8y and 4x3-7y316x7-28x4y3-32x3y+56y4
37x4+4y and 2x3-8y214x7-56x4y2+8x3y-32y3
45x2-3 and 7y3-1035x2y3-50x2-21y3+30
52x-5 and 1x+132x2+21x-65
68x4-3y and 7x-5y456x5-40x4y4-21xy+15y5
78x2-13 and 3y3-324x2y3-24x2-39y3+39
82x3+6y4 and 5x410x7+30x4y4
92x+6 and 3x2-26x3-4x1+18x2-12
104x-12 and 5y2-120xy2-4x-60y2+12
112x-12 and 3x+136x2-10x-156
124x+7 and 1x2-104x3-40x1+7x2-70
133x-8 and 1y-63xy-18x-8y+48
148x4+6y4 and 8x364x7+48x3y4
158x+11 and 7x-1456x2-35x-154
163x4+12 and 1x2+53x6+15x4+12x2+60
178x3-6 and 1y2+58x3y2+40x3-6y2-30
187x3-1 and 3y2+521x3y2+35x3-3y2-5
191x3+4y and 7x4+5y27x7+5x3y2+28x4y+20y3
204x4+1y and 8x2+3y432x6+12x4y4+8x2y+3y5
216x-8y and 5x+5y330x2+30xy3-40xy-40y4
226x-10 and 7y2-1142xy2-66x-70y2+110
237x+11 and 6x-1242x2-18x-132
241x-5 and 7x-87x2-43x+40
257x4+2y and 3x221x6+6x2y
262x3-9 and 5y2+1410x3y2+28x3-45y2-126
277x4-4y2 and 3x21x5-12xy2
282x2+1y4 and 7x214x4+7x2y4
298x4-8y4 and 8x3+1y64x7+8x4y-64x3y4-8y5
306x+7 and 5x2-1230x3-72x1+35x2-84
312x+4 and 7x+214x2+32x+8
328x4+10 and 1x2+18x6+8x4+10x2+10
333x+6 and 8x+324x2+57x+18
345x+4 and 3x-615x2-18x-24
354x3-7y and 4x+3y216x4+12x3y2-28xy-21y3
367x-2 and 5y-735xy-49x-10y+14
375x+6y3 and 2x2-6y10x3-30xy+12x2y3-36y4
388x3-2y3 and 6x2-4y248x5-32x3y2-12x2y3+8y5
396x4+13 and 4x2+1124x6+66x4+52x2+143
403x+7y4 and 7x-3y21x2-9xy+49xy4-21y5
415x2-3 and 3y3-615x2y3-30x2-9y3+18
423x+7 and 7x+621x2+67x+42
435x2-7y and 2x310x5-14x3y
443x3+4y4 and 6x218x5+24x2y4
457x+7y3 and 4x28x2+28xy3
465x2-2y3 and 1x5x3-2xy3
473x-2 and 3x-39x2-15x+6
487x-2 and 4y2-528xy2-35x-8y2+10
492x-11 and 2x-14x2-24x+11
506x-2 and 1x+136x2+76x-26