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
701	Add $ \, \color{blue}{ 3x^2 } \, $ and $ \, \color{orangered}{ 2-x^2 }$.	2
702	Multiply polynomial $ \, \color{blue}{ x^4+7 } \, $ by $ \, \color{orangered}{ 5x^2+10x-1 }$.	2
703	Subtract polynomials: $ \, \color{blue}{ 7-13x^3-11x } \, $ , $ \, \color{orangered}{ 2x^3+8-4x^5 }$.	2
704	Multiply polynomial $ \, \color{blue}{ 4a+2 } \, $ by $ \, \color{orangered}{ 12a-a+2 }$.	2
705	Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 8x^2-x-1 }$.	2
706	Multiply polynomial $ \, \color{blue}{ 2x^2-x-2 } \, $ by $ \, \color{orangered}{ -2x^2-3x+8 }$.	2
707	Add $ \, \color{blue}{ x-7 } \, $ and $ \, \color{orangered}{ x^2-x-3 }$.	2
708	Multiply polynomial $ \, \color{blue}{ 5 } \, $ by $ \, \color{orangered}{ -2 }$.	2
709	Multiply polynomial $ \, \color{blue}{ 6x+9 } \, $ by $ \, \color{orangered}{ 6x^2+4x+5 }$.	2
710	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ -5x^2+7x-10 }$.	2
711	Subtract polynomials: $ \, \color{blue}{ -5x^2-7x+2 } \, $ , $ \, \color{orangered}{ -5x^2+7x+2 }$.	2
712	Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$.	2
713	Multiply polynomial $ \, \color{blue}{ 2x^2-x-5 } \, $ by $ \, \color{orangered}{ -x^2-x-3 }$.	2
714	Multiply polynomial $ \, \color{blue}{ -x+2 } \, $ by $ \, \color{orangered}{ x^2+9x-2 }$.	2
715	Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 3x^2-3x-7 }$.	2
716	Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 3x^2-5x-8 }$.	2
717	Multiply polynomial $ \, \color{blue}{ 4n^2-5+4 } \, $ by $ \, \color{orangered}{ 8n-1 }$.	2
718	Multiply polynomial $ \, \color{blue}{ 4n^2-5n+4 } \, $ by $ \, \color{orangered}{ 8n-1 }$.	2
719	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x+1 }$.	2
720	Subtract polynomials: $ \, \color{blue}{ 3x+8x^2+7 } \, $ , $ \, \color{orangered}{ 12x^2-3-6x }$.	2
721	Add $ \, \color{blue}{ 6+4x^2-11x } \, $ and $ \, \color{orangered}{ 6x^2-9-7x }$.	2
722	Multiply polynomial $ \, \color{blue}{ 6x^3+5x^2-3x-2 } \, $ by $ \, \color{orangered}{ x^2-5x+5 }$.	2
723	Multiply polynomial $ \, \color{blue}{ x^2-2x-2 } \, $ by $ \, \color{orangered}{ 4x^2-4x+1 }$.	2
724	Multiply polynomial $ \, \color{blue}{ 3x^2-4x } \, $ by $ \, \color{orangered}{ 4x^2+5x }$.	2
725	Multiply polynomial $ \, \color{blue}{ 4x^3-7x^2-16x+3 } \, $ by $ \, \color{orangered}{ x-3 }$.	2
726	Add $ \, \color{blue}{ x^3-9x } \, $ and $ \, \color{orangered}{ 3x^2+2x }$.	2
727	Add $ \, \color{blue}{ 8+5x^2+x } \, $ and $ \, \color{orangered}{ 2+6x^2 }$.	2
728	Multiply polynomial $ \, \color{blue}{ 4r^2-4r-8 } \, $ by $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$.	2
729	Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x^2-5 }$.	2
730	Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ 6x-5 }$.	2
731	Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ -8x-9 }$.	2
732	Multiply polynomial $ \, \color{blue}{ 6+5 } \, $ by $ \, \color{orangered}{ 9-7 }$.	2
733	Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ 4x^2+x-4 }$.	2
734	Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ 9x+7 }$.	2
735	Subtract polynomials: $ \, \color{blue}{ -x+6 } \, $ , $ \, \color{orangered}{ 6x^2+2x-8 }$.	2
736	Subtract polynomials: $ \, \color{blue}{ 6x^2+2x-8 } \, $ , $ \, \color{orangered}{ -x+6 }$.	2
737	Add $ \, \color{blue}{ -3x+15 } \, $ and $ \, \color{orangered}{ -3x+9 }$.	2
738	Multiply polynomial $ \, \color{blue}{ -3x+15 } \, $ by $ \, \color{orangered}{ -3x+9 }$.	2
739	Add $ \, \color{blue}{ -3x-2 } \, $ and $ \, \color{orangered}{ -5x^2 }$.	2
740	Multiply polynomial $ \, \color{blue}{ 6x+4 } \, $ by $ \, \color{orangered}{ x^2-9 }$.	2
741	Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -10x-9 }$.	2
742	Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -2x-6 }$.	2
743	Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -2x+6 }$.	2
744	Multiply polynomial $ \, \color{blue}{ 8x-3 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$.	2
745	Add $ \, \color{blue}{ x^2-7x+5 } \, $ and $ \, \color{orangered}{ -3x-x+10 }$.	2
746	Multiply polynomial $ \, \color{blue}{ x^2+12x+32 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
747	Multiply polynomial $ \, \color{blue}{ x^2-6x-40 } \, $ by $ \, \color{orangered}{ x-10 }$.	2
748	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ 2x^2+x-1 }$.	2
749	Multiply polynomial $ \, \color{blue}{ -18x-4x-1 } \, $ by $ \, \color{orangered}{ 5x+10 }$.	2
750	Subtract polynomials: $ \, \color{blue}{ -8x+7x-8 } \, $ , $ \, \color{orangered}{ 1820x+3x+9 }$.	2