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
651	Subtract polynomials: $ \, \color{blue}{ 4x+5x^2-1 } \, $ , $ \, \color{orangered}{ 7x+3+8x^2 }$.	2
652	Subtract polynomials: $ \, \color{blue}{ 4x+5x^2-1 } \, $ , $ \, \color{orangered}{ -7x+3+8x^2 }$.	2
653	Multiply polynomial $ \, \color{blue}{ -2x+2 } \, $ by $ \, \color{orangered}{ -x^2 }$.	2
654	Add $ \, \color{blue}{ 2x^2+6x } \, $ and $ \, \color{orangered}{ -3x^2 }$.	2
655	Add $ \, \color{blue}{ x+4 } \, $ and $ \, \color{orangered}{ 4x }$.	2
656	Multiply polynomial $ \, \color{blue}{ -3x+3 } \, $ by $ \, \color{orangered}{ -x }$.	2
657	Add $ \, \color{blue}{ -4x } \, $ and $ \, \color{orangered}{ -5x+1 }$.	2
658	Add $ \, \color{blue}{ -3x } \, $ and $ \, \color{orangered}{ -x^2-4x }$.	2
659	Subtract polynomials: $ \, \color{blue}{ 3x^2-x } \, $ , $ \, \color{orangered}{ -5x }$.	2
660	Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ 4x+1 }$.	2
661	Subtract polynomials: $ \, \color{blue}{ -3x^2+x } \, $ , $ \, \color{orangered}{ -2x+3 }$.	2
662	Subtract polynomials: $ \, \color{blue}{ x+3 } \, $ , $ \, \color{orangered}{ x^2+4x }$.	2
663	Multiply polynomial $ \, \color{blue}{ -4x+6 } \, $ by $ \, \color{orangered}{ -2x+5 }$.	2
664	Add $ \, \color{blue}{ 3x^2-9x } \, $ and $ \, \color{orangered}{ -x+1 }$.	2
665	Multiply polynomial $ \, \color{blue}{ -5x+3 } \, $ by $ \, \color{orangered}{ 3x+4 }$.	2
666	Multiply polynomial $ \, \color{blue}{ 3x+6 } \, $ by $ \, \color{orangered}{ 3x+1 }$.	2
667	Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
668	Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x^2-2x+1 }$.	2
669	Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x^2+x+1 }$.	2
670	Multiply polynomial $ \, \color{blue}{ x^2+4x+2 } \, $ by $ \, \color{orangered}{ 2x+2 }$.	2
671	Multiply polynomial $ \, \color{blue}{ x^2+4x+4 } \, $ by $ \, \color{orangered}{ 2x+2 }$.	2
672	Add $ \, \color{blue}{ 7x^3-2 } \, $ and $ \, \color{orangered}{ 5x^3-x-3 }$.	2
673	Add $ \, \color{blue}{ 6x^5+1 } \, $ and $ \, \color{orangered}{ 2x^5+9x-1 }$.	2
674	Add $ \, \color{blue}{ -5x^2+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$.	2
675	Subtract polynomials: $ \, \color{blue}{ 8x^2-3x } \, $ , $ \, \color{orangered}{ 5x-40x^3 }$.	2
676	Subtract polynomials: $ \, \color{blue}{ -2x^3+x } \, $ , $ \, \color{orangered}{ 7x-3-7x^3 }$.	2
677	Multiply polynomial $ \, \color{blue}{ 8x^5 } \, $ by $ \, \color{orangered}{ 3x^5 }$.	2
678	Add $ \, \color{blue}{ 3x^2 } \, $ and $ \, \color{orangered}{ 2-x^2 }$.	2
679	Multiply polynomial $ \, \color{blue}{ x^4+7 } \, $ by $ \, \color{orangered}{ 5x^2+10x-1 }$.	2
680	Subtract polynomials: $ \, \color{blue}{ 7-13x^3-11x } \, $ , $ \, \color{orangered}{ 2x^3+8-4x^5 }$.	2
681	Multiply polynomial $ \, \color{blue}{ 4a+2 } \, $ by $ \, \color{orangered}{ 12a-a+2 }$.	2
682	Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 8x^2-x-1 }$.	2
683	Multiply polynomial $ \, \color{blue}{ 2x^2-x-2 } \, $ by $ \, \color{orangered}{ -2x^2-3x+8 }$.	2
684	Add $ \, \color{blue}{ x-7 } \, $ and $ \, \color{orangered}{ x^2-x-3 }$.	2
685	Multiply polynomial $ \, \color{blue}{ 5 } \, $ by $ \, \color{orangered}{ -2 }$.	2
686	Multiply polynomial $ \, \color{blue}{ 6x+9 } \, $ by $ \, \color{orangered}{ 6x^2+4x+5 }$.	2
687	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ -5x^2+7x-10 }$.	2
688	Subtract polynomials: $ \, \color{blue}{ -5x^2-7x+2 } \, $ , $ \, \color{orangered}{ -5x^2+7x+2 }$.	2
689	Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$.	2
690	Multiply polynomial $ \, \color{blue}{ 2x^2-x-5 } \, $ by $ \, \color{orangered}{ -x^2-x-3 }$.	2
691	Multiply polynomial $ \, \color{blue}{ -x+2 } \, $ by $ \, \color{orangered}{ x^2+9x-2 }$.	2
692	Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 3x^2-3x-7 }$.	2
693	Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 3x^2-5x-8 }$.	2
694	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x+1 }$.	2
695	Subtract polynomials: $ \, \color{blue}{ 3x+8x^2+7 } \, $ , $ \, \color{orangered}{ 12x^2-3-6x }$.	2
696	Add $ \, \color{blue}{ 6+4x^2-11x } \, $ and $ \, \color{orangered}{ 6x^2-9-7x }$.	2
697	Multiply polynomial $ \, \color{blue}{ 6x^3+5x^2-3x-2 } \, $ by $ \, \color{orangered}{ x^2-5x+5 }$.	2
698	Multiply polynomial $ \, \color{blue}{ x^2-2x-2 } \, $ by $ \, \color{orangered}{ 4x^2-4x+1 }$.	2
699	Multiply polynomial $ \, \color{blue}{ 3x^2-4x } \, $ by $ \, \color{orangered}{ 4x^2+5x }$.	2
700	Multiply polynomial $ \, \color{blue}{ 4x^3-7x^2-16x+3 } \, $ by $ \, \color{orangered}{ x-3 }$.	2