Operations on polynomials

(the database of solved problems)

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

Select category

ID	Problem	Count
501	Subtract polynomials: $ \, \color{blue}{ 12m+8m-3 } \, $ , $ \, \color{orangered}{ 4m-m+4 }$.	2
502	Add $ \, \color{blue}{ 2x^2-6x-5 } \, $ and $ \, \color{orangered}{ -9x^2+5x-4 }$.	2
503	Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$.	2
504	Multiply polynomial $ \, \color{blue}{ 2x^3 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
505	Multiply polynomial $ \, \color{blue}{ 3x0 } \, $ by $ \, \color{orangered}{ 3x0 }$.	2
506	Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+6 }$.	2
507	Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 3x^2+2x-1 }$.	2
508	Subtract polynomials: $ \, \color{blue}{ 4x+16 } \, $ , $ \, \color{orangered}{ x-4 }$.	2
509	Add $ \, \color{blue}{ -9x^4+19x^2-8x-12 } \, $ and $ \, \color{orangered}{ -6x }$.	2
510	Add $ \, \color{blue}{ 3x^4-13x } \, $ and $ \, \color{orangered}{ 2x-x^4 }$.	2
511	Add $ \, \color{blue}{ x^2-x } \, $ and $ \, \color{orangered}{ 8x-2x^2 }$.	2
512	Add $ \, \color{blue}{ 2a^2+4a^3 } \, $ and $ \, \color{orangered}{ 3a^3+8 }$.	2
513	Add $ \, \color{blue}{ 20v^2-9v^3 } \, $ and $ \, \color{orangered}{ 7v^3-10v^4-11v^2 }$.	2
514	Add $ \, \color{blue}{ -x^3 } \, $ and $ \, \color{orangered}{ 24x^3 }$.	2
515	Subtract polynomials: $ \, \color{blue}{ 2a^2+4a^3 } \, $ , $ \, \color{orangered}{ 3a^3+8 }$.	2
516	Subtract polynomials: $ \, \color{blue}{ 3x^2+x-3 } \, $ , $ \, \color{orangered}{ 4x-2 }$.	2
517	Multiply polynomial $ \, \color{blue}{ -4x^4+10x } \, $ by $ \, \color{orangered}{ 5x^3-1 }$.	2
518	Add $ \, \color{blue}{ 2x-1 } \, $ and $ \, \color{orangered}{ 4x-2 }$.	2
519	Subtract polynomials: $ \, \color{blue}{ x^2-1 } \, $ , $ \, \color{orangered}{ 1-4x }$.	2
520	Subtract polynomials: $ \, \color{blue}{ x^2-1 } \, $ , $ \, \color{orangered}{ 2x-3 }$.	2
521	Subtract polynomials: $ \, \color{blue}{ x^3+4x^2-25x-100 } \, $ , $ \, \color{orangered}{ 10x+50 }$.	2
522	Multiply polynomial $ \, \color{blue}{ -5t^3 } \, $ by $ \, \color{orangered}{ 6t^7-9t }$.	2
523	Add $ \, \color{blue}{ 8x^3+14x+8 } \, $ and $ \, \color{orangered}{ 2x+1 }$.	2
524	Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
525	Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
526	Multiply polynomial $ \, \color{blue}{ x^2-3x-2 } \, $ by $ \, \color{orangered}{ x^2+3x-7 }$.	2
527	Multiply polynomial $ \, \color{blue}{ x^2+2x-2 } \, $ by $ \, \color{orangered}{ 3x^2-x-9 }$.	2
528	Multiply polynomial $ \, \color{blue}{ x^2-2x-1 } \, $ by $ \, \color{orangered}{ 2x^2+4x-6 }$.	2
529	Multiply polynomial $ \, \color{blue}{ 3x^2-5x+3 } \, $ by $ \, \color{orangered}{ -2x^2-3x+2 }$.	2
530	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ 2x-1 }$.	2
531	Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ x^2+5x-1 }$.	2
532	Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ -5x+1 }$.	2
533	Multiply polynomial $ \, \color{blue}{ 2x^2-3x } \, $ by $ \, \color{orangered}{ x-7 }$.	2
534	Add $ \, \color{blue}{ -7x-8x^4 } \, $ and $ \, \color{orangered}{ -7x^4+1-2x }$.	2
535	Multiply polynomial $ \, \color{blue}{ 2x-7 } \, $ by $ \, \color{orangered}{ 2x^2+2x-1 }$.	2
536	Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ -4x-3 }$.	2
537	Multiply polynomial $ \, \color{blue}{ 4x+1 } \, $ by $ \, \color{orangered}{ 3x+5 }$.	2
538	Subtract polynomials: $ \, \color{blue}{ 6x-5x^4 } \, $ , $ \, \color{orangered}{ 4x^4+6x^3+3x^2 }$.	2
539	Add $ \, \color{blue}{ 2x+4x-5 } \, $ and $ \, \color{orangered}{ -5x^2+3x+1 }$.	2
540	Add $ \, \color{blue}{ -3+5x } \, $ and $ \, \color{orangered}{ -3x^2+6x^3+1-6x }$.	2
541	Multiply polynomial $ \, \color{blue}{ 7x-5 } \, $ by $ \, \color{orangered}{ 9x^2-4x+2 }$.	2
542	Multiply polynomial $ \, \color{blue}{ 7x-5 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
543	Add $ \, \color{blue}{ 5u-5 } \, $ and $ \, \color{orangered}{ -u+1 }$.	2
544	Subtract polynomials: $ \, \color{blue}{ 2j+2 } \, $ , $ \, \color{orangered}{ 5j+6 }$.	2
545	Multiply polynomial $ \, \color{blue}{ 2x^2+9x+7 } \, $ by $ \, \color{orangered}{ 2x^2+9x+7 }$.	2
546	Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+28+49 }$.	2
547	Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+28x+49 }$.	2
548	Subtract polynomials: $ \, \color{blue}{ 2x+3 } \, $ , $ \, \color{orangered}{ x^2+3x }$.	2
549	Subtract polynomials: $ \, \color{blue}{ x^2-4+6 } \, $ , $ \, \color{orangered}{ 2x^2+x-3 }$.	2
550	Add $ \, \color{blue}{ 2x^3+x^2-x+5 } \, $ and $ \, \color{orangered}{ x^3-3x^2+4x-2 }$.	2