Operations on polynomials – Solved Problems Database

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

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ID	Problem	Count
401	Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ x+9 }$.	2
402	Add $ \, \color{blue}{ 10x } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
403	Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ -s^9-58s^8-1409s^7-18678s^6-146995s^5-696614s^4-1907795s^3-2663850s^2-1323000s }$.	2
404	Multiply polynomial $ \, \color{blue}{ x-14 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
405	Add $ \, \color{blue}{ 3x^4-3x } \, $ and $ \, \color{orangered}{ 3x-3x^4 }$.	2
406	Add $ \, \color{blue}{ -5x^2-x+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$.	2
407	Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ -x^3-x^2+x }$.	2
408	Multiply polynomial $ \, \color{blue}{ 2x^2-x-5 } \, $ by $ \, \color{orangered}{ -x^2-x-3 }$.	2
409	Subtract polynomials: $ \, \color{blue}{ 12-11x-5x^5 } \, $ , $ \, \color{orangered}{ 4x^4+8x-4x^5+2x^3-1 }$.	2
410	Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ -x^3-x^2+x }$.	2
411	Subtract polynomials: $ \, \color{blue}{ -6x^2+x-6 } \, $ , $ \, \color{orangered}{ 4x^2-6x-4 }$.	2
412	Multiply polynomial $ \, \color{blue}{ 20s^4+380s^3+2480s^2+6480s+5760 } \, $ by $ \, \color{orangered}{ s^4+17s^3+99s^2+223s+140 }$.	2
413	Add $ \, \color{blue}{ x^3-5x^2+3x-7 } \, $ and $ \, \color{orangered}{ x^2-6x+5 }$.	2
414	Multiply polynomial $ \, \color{blue}{ 4b-3 } \, $ by $ \, \color{orangered}{ 4b+3 }$.	2
415	Multiply polynomial $ \, \color{blue}{ 5x^3+3x^2+10x+11 } \, $ by $ \, \color{orangered}{ -x^3-x^2+x }$.	2
416	Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ 5x^2-x+3 }$.	2
417	Multiply polynomial $ \, \color{blue}{ x^2-6x+5 } \, $ by $ \, \color{orangered}{ x^3-5x^2+3x-7 }$.	2
418	Multiply polynomial $ \, \color{blue}{ x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2+x-3 }$.	2
419	Multiply polynomial $ \, \color{blue}{ x^2+6x+9 } \, $ by $ \, \color{orangered}{ x^3+3x^2+9x+27 }$.	2
420	Multiply polynomial $ \, \color{blue}{ -x+2 } \, $ by $ \, \color{orangered}{ x^2+9x-2 }$.	2
421	Subtract polynomials: $ \, \color{blue}{ -v^3+4v^2-5 } \, $ , $ \, \color{orangered}{ 6v^3+3v^2-3 }$.	2
422	Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 3x^2-3x-7 }$.	2
423	Multiply polynomial $ \, \color{blue}{ 6x^3+5x^2-3x-2 } \, $ by $ \, \color{orangered}{ x^2-5x+5 }$.	2
424	Subtract polynomials: $ \, \color{blue}{ -v^3+4v^2-5 } \, $ , $ \, \color{orangered}{ -6v^3-3v^2+3 }$.	2
425	Add $ \, \color{blue}{ 6x^2-11x+4 } \, $ and $ \, \color{orangered}{ x^2+10x-3x^3 }$.	2
426	Multiply polynomial $ \, \color{blue}{ x^2+6x+9 } \, $ by $ \, \color{orangered}{ x^3+9x^2+27x+27 }$.	2
427	Add $ \, \color{blue}{ 2x^4+x } \, $ and $ \, \color{orangered}{ 7x-2x^2 }$.	2
428	Add $ \, \color{blue}{ 2x^2+x-3 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
429	Multiply polynomial $ \, \color{blue}{ x^4 } \, $ by $ \, \color{orangered}{ x^3 }$.	2
430	Multiply polynomial $ \, \color{blue}{ x^2+6x+9 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
431	Multiply polynomial $ \, \color{blue}{ 5x^2+8x+8 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
432	Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ 3x-1 }$.	2
433	Multiply polynomial $ \, \color{blue}{ 6x^3+x^2+9x+15 } \, $ by $ \, \color{orangered}{ -x^3-x }$.	2
434	Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-x^2 }$.	2
435	Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-13x^2 }$.	2
436	Add $ \, \color{blue}{ 14x+3x+7 } \, $ and $ \, \color{orangered}{ 12x+7x }$.	2
437	Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 3x^2-5x-8 }$.	2
438	Multiply polynomial $ \, \color{blue}{ s^4+17s^3+99s^2+223s+140 } \, $ by $ \, \color{orangered}{ 20s^4+380s^3+2480s^2+6480s+5760 }$.	2
439	Multiply polynomial $ \, \color{blue}{ 8 } \, $ by $ \, \color{orangered}{ 5 }$.	2
440	Subtract polynomials: $ \, \color{blue}{ 7-13x^3-11x } \, $ , $ \, \color{orangered}{ 2x^3+8-4x^5 }$.	2
441	Subtract polynomials: $ \, \color{blue}{ 4q+5 } \, $ , $ \, \color{orangered}{ 4q+1 }$.	2
442	Multiply polynomial $ \, \color{blue}{ -2x+2 } \, $ by $ \, \color{orangered}{ -x^2 }$.	2
443	Multiply polynomial $ \, \color{blue}{ x^2+2x-24 } \, $ by $ \, \color{orangered}{ x+6 }$.	2
444	Add $ \, \color{blue}{ x^4-2x^3-7x^3+8x+12 } \, $ and $ \, \color{orangered}{ x^4-2x^3-7x^3+8x+12 }$.	2
445	Add $ \, \color{blue}{ 2x^2+6x } \, $ and $ \, \color{orangered}{ -3x^2 }$.	2
446	Add $ \, \color{blue}{ 4444 } \, $ and $ \, \color{orangered}{ 5555 }$.	2
447	Multiply polynomial $ \, \color{blue}{ 4x+9x-78x-83x-42 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
448	Add $ \, \color{blue}{ x+4 } \, $ and $ \, \color{orangered}{ 4x }$.	2
449	Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x^2-5 }$.	2
450	Add $ \, \color{blue}{ -4x+4x^3+7+3x^3-9-3x } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$.	2