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
451	Multiply polynomial $ \, \color{blue}{ x-14 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
452	Subtract polynomials: $ \, \color{blue}{ 12-11x-5x^5 } \, $ , $ \, \color{orangered}{ 4x^4+8x-4x^5+2x^3-1 }$.	2
453	Add $ \, \color{blue}{ x^3-5x^2+3x-7 } \, $ and $ \, \color{orangered}{ x^2-6x+5 }$.	2
454	Multiply polynomial $ \, \color{blue}{ x^2-6x+5 } \, $ by $ \, \color{orangered}{ x^3-5x^2+3x-7 }$.	2
455	Add $ \, \color{blue}{ 6x^2-11x+4 } \, $ and $ \, \color{orangered}{ x^2+10x-3x^3 }$.	2
456	Multiply polynomial $ \, \color{blue}{ x^4 } \, $ by $ \, \color{orangered}{ x^3 }$.	2
457	Multiply polynomial $ \, \color{blue}{ 5x^2+8x+8 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
458	Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-x^2 }$.	2
459	Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-13x^2 }$.	2
460	Multiply polynomial $ \, \color{blue}{ x^2+2x-24 } \, $ by $ \, \color{orangered}{ x+6 }$.	2
461	Multiply polynomial $ \, \color{blue}{ 2x^2+6x-13 } \, $ by $ \, \color{orangered}{ x-9 }$.	2
462	Multiply polynomial $ \, \color{blue}{ 3x^2+5x-28 } \, $ by $ \, \color{orangered}{ 3x-7 }$.	2
463	Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ -2x^2 }$.	2
464	Multiply polynomial $ \, \color{blue}{ m^2-2m+1 } \, $ by $ \, \color{orangered}{ m^2-m+2 }$.	2
465	Subtract polynomials: $ \, \color{blue}{ 2x^2+53x+75 } \, $ , $ \, \color{orangered}{ x^2+5x+5 }$.	2
466	Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ x }$.	2
467	Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ x }$.	2
468	Add $ \, \color{blue}{ x+3 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
469	Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x+2 }$.	2
470	Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ 6x+1 }$.	2
471	Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ x^2-3x-3 }$.	2
472	Multiply polynomial $ \, \color{blue}{ r-1 } \, $ by $ \, \color{orangered}{ r^2-2r+3 }$.	2
473	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+x^2+x+1 }$.	2
474	Multiply polynomial $ \, \color{blue}{ x^3+8 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
475	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^3 }$.	2
476	Add $ \, \color{blue}{ 2x^2-3x+5 } \, $ and $ \, \color{orangered}{ x-5 }$.	2
477	Subtract polynomials: $ \, \color{blue}{ 2x-3 } \, $ , $ \, \color{orangered}{ 5x^2 }$.	2
478	Add $ \, \color{blue}{ 3x^2-2x+4 } \, $ and $ \, \color{orangered}{ -3x^2+6x-10 }$.	2
479	Multiply polynomial $ \, \color{blue}{ -2x+4 } \, $ by $ \, \color{orangered}{ 6x-10 }$.	2
480	Multiply polynomial $ \, \color{blue}{ x^2-9x-10 } \, $ by $ \, \color{orangered}{ x-10 }$.	2
481	Add $ \, \color{blue}{ 6m^5+1 } \, $ and $ \, \color{orangered}{ 2m^5+9m-1 }$.	2
482	Add $ \, \color{blue}{ 3m^5+1 } \, $ and $ \, \color{orangered}{ 9m^5+3m-2 }$.	2
483	Add $ \, \color{blue}{ -5x^2-x+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$.	2
484	Add $ \, \color{blue}{ -4x+4x^3+7+3x^3-9-3x } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$.	2
485	Add $ \, \color{blue}{ -4x+4x^3+7 } \, $ and $ \, \color{orangered}{ -3x^3-9+3x }$.	2
486	Add $ \, \color{blue}{ 3x^2-2x+1 } \, $ and $ \, \color{orangered}{ -x^2+3x+1 }$.	2
487	Add $ \, \color{blue}{ 8x^2-3x } \, $ and $ \, \color{orangered}{ 5x-5-8x^2 }$.	2
488	Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ x^2-5x+4 }$.	2
489	Add $ \, \color{blue}{ 12x^2-7 } \, $ and $ \, \color{orangered}{ x^2-5x-3 }$.	2
490	Multiply polynomial $ \, \color{blue}{ 2-3x+7x } \, $ by $ \, \color{orangered}{ -x+4x+7-5 }$.	2
491	Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$.	2
492	Add $ \, \color{blue}{ 9x+9 } \, $ and $ \, \color{orangered}{ -9x^2-8x+6 }$.	2
493	Subtract polynomials: $ \, \color{blue}{ x^2+2x+5 } \, $ , $ \, \color{orangered}{ -2x^2+6 }$.	2
494	Subtract polynomials: $ \, \color{blue}{ -6x^2+x-6 } \, $ , $ \, \color{orangered}{ 4x^2-6x-4 }$.	2
495	Multiply polynomial $ \, \color{blue}{ x^2+10x-25 } \, $ by $ \, \color{orangered}{ x^2+x-42 }$.	2
496	Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x-1 }$.	2
497	Multiply polynomial $ \, \color{blue}{ x^2+5x+5x-25 } \, $ by $ \, \color{orangered}{ x^2+7x-42-6x }$.	2
498	Multiply polynomial $ \, \color{blue}{ 4x+9x-78x-83x-42 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
499	Multiply polynomial $ \, \color{blue}{ x^2+1 } \, $ by $ \, \color{orangered}{ x^2+x-42 }$.	2
500	Multiply polynomial $ \, \color{blue}{ -2x^3 } \, $ by $ \, \color{orangered}{ -5x^4 }$.	2