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}{ x^3-9x } \, $ and $ \, \color{orangered}{ 3x^2+2x }$.	2
702	Add $ \, \color{blue}{ 8+5x^2+x } \, $ and $ \, \color{orangered}{ 2+6x^2 }$.	2
703	Multiply polynomial $ \, \color{blue}{ 4r^2-4r-8 } \, $ by $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$.	2
704	Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x^2-5 }$.	2
705	Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ 6x-5 }$.	2
706	Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ -8x-9 }$.	2
707	Multiply polynomial $ \, \color{blue}{ 6+5 } \, $ by $ \, \color{orangered}{ 9-7 }$.	2
708	Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ 4x^2+x-4 }$.	2
709	Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ 9x+7 }$.	2
710	Subtract polynomials: $ \, \color{blue}{ -x+6 } \, $ , $ \, \color{orangered}{ 6x^2+2x-8 }$.	2
711	Subtract polynomials: $ \, \color{blue}{ 6x^2+2x-8 } \, $ , $ \, \color{orangered}{ -x+6 }$.	2
712	Add $ \, \color{blue}{ -3x+15 } \, $ and $ \, \color{orangered}{ -3x+9 }$.	2
713	Multiply polynomial $ \, \color{blue}{ -3x+15 } \, $ by $ \, \color{orangered}{ -3x+9 }$.	2
714	Add $ \, \color{blue}{ -3x-2 } \, $ and $ \, \color{orangered}{ -5x^2 }$.	2
715	Multiply polynomial $ \, \color{blue}{ 6x+4 } \, $ by $ \, \color{orangered}{ x^2-9 }$.	2
716	Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -10x-9 }$.	2
717	Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -2x-6 }$.	2
718	Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -2x+6 }$.	2
719	Multiply polynomial $ \, \color{blue}{ 8x-3 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$.	2
720	Add $ \, \color{blue}{ x^2-7x+5 } \, $ and $ \, \color{orangered}{ -3x-x+10 }$.	2
721	Multiply polynomial $ \, \color{blue}{ x^2+12x+32 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
722	Multiply polynomial $ \, \color{blue}{ x^2-6x-40 } \, $ by $ \, \color{orangered}{ x-10 }$.	2
723	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ 2x^2+x-1 }$.	2
724	Multiply polynomial $ \, \color{blue}{ -18x-4x-1 } \, $ by $ \, \color{orangered}{ 5x+10 }$.	2
725	Subtract polynomials: $ \, \color{blue}{ -8x+7x-8 } \, $ , $ \, \color{orangered}{ 1820x+3x+9 }$.	2
726	Subtract polynomials: $ \, \color{blue}{ 2z^{13}+11z^{10}+7z^7+9z^5 } \, $ , $ \, \color{orangered}{ 7z^{14}-7z^{10}+7z^7+4z^5 }$.	2
727	Multiply polynomial $ \, \color{blue}{ 2x+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$.	2
728	Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
729	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$.	2
730	Add $ \, \color{blue}{ 14x-2x^2-11 } \, $ and $ \, \color{orangered}{ -2x^2-5x-7 }$.	2
731	Add $ \, \color{blue}{ 9x^2+6 } \, $ and $ \, \color{orangered}{ 2x^2-x-10 }$.	2
732	Subtract polynomials: $ \, \color{blue}{ -10x^2+4x } \, $ , $ \, \color{orangered}{ -4x^2+6x+8 }$.	2
733	Subtract polynomials: $ \, \color{blue}{ -x^2-4x+1 } \, $ , $ \, \color{orangered}{ 2x^2+9 }$.	2
734	Multiply polynomial $ \, \color{blue}{ 2x^2-x+4 } \, $ by $ \, \color{orangered}{ 3x^2+x+4 }$.	2
735	Add $ \, \color{blue}{ 3x^4+2-2x^3 } \, $ and $ \, \color{orangered}{ 4x^3+4x^4 }$.	2
736	Add $ \, \color{blue}{ 7x^2-4 } \, $ and $ \, \color{orangered}{ 6x^3-4x-4x^4 }$.	2
737	Subtract polynomials: $ \, \color{blue}{ 4x^3+6x-7 } \, $ , $ \, \color{orangered}{ 3x^3-5x^2-5x }$.	2
738	Subtract polynomials: $ \, \color{blue}{ 4x^3+6x-7 } \, $ , $ \, \color{orangered}{ 3x^3-5x^2-5x }$.	2
739	Multiply polynomial $ \, \color{blue}{ 5x^3 } \, $ by $ \, \color{orangered}{ 6x-8 }$.	2
740	Subtract polynomials: $ \, \color{blue}{ 12x^2-8x+11 } \, $ , $ \, \color{orangered}{ -14+10x^2-6x }$.	2
741	Add $ \, \color{blue}{ 8x^2-3x+9 } \, $ and $ \, \color{orangered}{ 4x^2+8x-2 }$.	2
742	Multiply polynomial $ \, \color{blue}{ x^2+3x } \, $ by $ \, \color{orangered}{ x^2-x+4 }$.	2
743	Subtract polynomials: $ \, \color{blue}{ 2x^2-9x+3 } \, $ , $ \, \color{orangered}{ 3x^2+3x-2 }$.	2
744	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2+2x+4 }$.	2
745	Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x+8 }$.	2
746	Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
747	Multiply polynomial $ \, \color{blue}{ 3x+7 } \, $ by $ \, \color{orangered}{ 2x+3 }$.	2
748	Multiply polynomial $ \, \color{blue}{ x-10 } \, $ by $ \, \color{orangered}{ x+2 }$.	2
749	Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ x+8 }$.	2
750	Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ 3x^3-4x^2-2x+10 }$.	2