Operations on polynomials

(the database of solved problems)

All the problems and solutions shown below were generated using the Polynomial Operations Calculator.

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ID	Problem	Count
401	Add $ \, \color{blue}{ 2x+15+x+x+15+x-5+x+2x-5 } \, $ and $ \, \color{orangered}{ 0 }$.	2
402	Subtract polynomials: $ \, \color{blue}{ 2x-8x^2 } \, $ , $ \, \color{orangered}{ 5x^4-3x^2 }$.	2
403	Add $ \, \color{blue}{ -2x^2+10x^4+x^3 } \, $ and $ \, \color{orangered}{ 4x^3+3x^4+8x^2 }$.	2
404	Subtract polynomials: $ \, \color{blue}{ 4x^3+5 } \, $ , $ \, \color{orangered}{ 7-2x^3 }$.	2
405	Subtract polynomials: $ \, \color{blue}{ 4x^4-2x } \, $ , $ \, \color{orangered}{ 6x-2x^4 }$.	2
406	Subtract polynomials: $ \, \color{blue}{ 13x^2-6x^5-2x } \, $ , $ \, \color{orangered}{ -10x^2-11x^5+9x }$.	2
407	Multiply polynomial $ \, \color{blue}{ 2x^3+3x^2 } \, $ by $ \, \color{orangered}{ 4x^4-5x^3-6x^2 }$.	2
408	Add $ \, \color{blue}{ 4x^2+x+5 } \, $ and $ \, \color{orangered}{ 7x^2-3x-3 }$.	2
409	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
410	Multiply polynomial $ \, \color{blue}{ 2x^2-3 } \, $ by $ \, \color{orangered}{ x^2+5x-1 }$.	2
411	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+20s+20 }$.	2
412	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
413	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
414	Multiply polynomial $ \, \color{blue}{ w-1 } \, $ by $ \, \color{orangered}{ 4w-4 }$.	2
415	Subtract polynomials: $ \, \color{blue}{ -3t^2+2t+2 } \, $ , $ \, \color{orangered}{ -2t^2-7t-1 }$.	2
416	Multiply polynomial $ \, \color{blue}{ 5a^5 } \, $ by $ \, \color{orangered}{ 4a^4 }$.	2
417	Multiply polynomial $ \, \color{blue}{ 5x^4-2x^2-10x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
418	Multiply polynomial $ \, \color{blue}{ 4t+1 } \, $ by $ \, \color{orangered}{ 2t-1 }$.	2
419	Multiply polynomial $ \, \color{blue}{ 4c+1 } \, $ by $ \, \color{orangered}{ -4c^2+3c-1 }$.	2
420	Multiply polynomial $ \, \color{blue}{ -2g^3+11g^2-10g-14 } \, $ by $ \, \color{orangered}{ g-2 }$.	2
421	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
422	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
423	Add $ \, \color{blue}{ 20s^7+360s^6+2700s^5+11200s^4+27480s^3+37440s^2+21600s } \, $ and $ \, \color{orangered}{ s^7+36s^6+512s^5+3634s^4+13287s^3+22730s^2+12600s }$.	2
424	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
425	Multiply polynomial $ \, \color{blue}{ s^3+10s^2+29s+20 } \, $ by $ \, \color{orangered}{ s^4+26s^3+223s^2+630s }$.	2
426	Subtract polynomials: $ \, \color{blue}{ 20s^7+360s^6+2700s^5+11200s^4+27480s^3+37440s^2+21600s } \, $ , $ \, \color{orangered}{ s^7+36s^6+512s^5+3634s^4+13287s^3+22730s^2+12600s }$.	2
427	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
428	Multiply polynomial $ \, \color{blue}{ 8x+2 } \, $ by $ \, \color{orangered}{ 7x+6 }$.	2
429	Multiply polynomial $ \, \color{blue}{ 8x-6 } \, $ by $ \, \color{orangered}{ 3x-2 }$.	2
430	Subtract polynomials: $ \, \color{blue}{ 3x^5+7x^2-4x+8 } \, $ , $ \, \color{orangered}{ 4x^4+16x-3x+7 }$.	2
431	Multiply polynomial $ \, \color{blue}{ x-14 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
432	Subtract polynomials: $ \, \color{blue}{ 12-11x-5x^5 } \, $ , $ \, \color{orangered}{ 4x^4+8x-4x^5+2x^3-1 }$.	2
433	Add $ \, \color{blue}{ x^3-5x^2+3x-7 } \, $ and $ \, \color{orangered}{ x^2-6x+5 }$.	2
434	Multiply polynomial $ \, \color{blue}{ x^2-6x+5 } \, $ by $ \, \color{orangered}{ x^3-5x^2+3x-7 }$.	2
435	Add $ \, \color{blue}{ 4x^3-5x^2+3x } \, $ and $ \, \color{orangered}{ -2x-x^2+6x }$.	2
436	Add $ \, \color{blue}{ 6x^2-11x+4 } \, $ and $ \, \color{orangered}{ x^2+10x-3x^3 }$.	2
437	Multiply polynomial $ \, \color{blue}{ x^4 } \, $ by $ \, \color{orangered}{ x^3 }$.	2
438	Multiply polynomial $ \, \color{blue}{ 5x^2+8x+8 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
439	Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-x^2 }$.	2
440	Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-13x^2 }$.	2
441	Multiply polynomial $ \, \color{blue}{ 3x^3+3x^2-4x+5 } \, $ by $ \, \color{orangered}{ x^3-2x^2+x-4 }$.	2
442	Add $ \, \color{blue}{ 3x^3+3x^2-4x+5 } \, $ and $ \, \color{orangered}{ x^3-2x^2+x-4 }$.	2
443	Subtract polynomials: $ \, \color{blue}{ -9r-4+14r^2 } \, $ , $ \, \color{orangered}{ 2r-11r^2+5 }$.	2
444	Multiply polynomial $ \, \color{blue}{ x^2+2x-24 } \, $ by $ \, \color{orangered}{ x+6 }$.	2
445	Multiply polynomial $ \, \color{blue}{ 2x^2+6x-13 } \, $ by $ \, \color{orangered}{ x-9 }$.	2
446	Multiply polynomial $ \, \color{blue}{ 3x^2+5x-28 } \, $ by $ \, \color{orangered}{ 3x-7 }$.	2
447	Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ -2x^2 }$.	2
448	Multiply polynomial $ \, \color{blue}{ m^2-2m+1 } \, $ by $ \, \color{orangered}{ m^2-m+2 }$.	2
449	Subtract polynomials: $ \, \color{blue}{ 2x^2+53x+75 } \, $ , $ \, \color{orangered}{ x^2+5x+5 }$.	2
450	Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ x }$.	2