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
751	Add $ \, \color{blue}{ x^3-9x } \, $ and $ \, \color{orangered}{ 3x^2+2x }$.	2
752	Add $ \, \color{blue}{ 8+5x^2+x } \, $ and $ \, \color{orangered}{ 2+6x^2 }$.	2
753	Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x+1 }$.	2
754	Multiply polynomial $ \, \color{blue}{ 4r^2-4r-8 } \, $ by $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$.	2
755	Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x^2-5 }$.	2
756	Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ 6x-5 }$.	2
757	Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ -8x-9 }$.	2
758	Multiply polynomial $ \, \color{blue}{ 6+5 } \, $ by $ \, \color{orangered}{ 9-7 }$.	2
759	Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ 4x^2+x-4 }$.	2
760	Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ 9x+7 }$.	2
761	Subtract polynomials: $ \, \color{blue}{ -x+6 } \, $ , $ \, \color{orangered}{ 6x^2+2x-8 }$.	2
762	Subtract polynomials: $ \, \color{blue}{ 6x^2+2x-8 } \, $ , $ \, \color{orangered}{ -x+6 }$.	2
763	Add $ \, \color{blue}{ -3x+15 } \, $ and $ \, \color{orangered}{ -3x+9 }$.	2
764	Multiply polynomial $ \, \color{blue}{ -3x+15 } \, $ by $ \, \color{orangered}{ -3x+9 }$.	2
765	Add $ \, \color{blue}{ -3x-2 } \, $ and $ \, \color{orangered}{ -5x^2 }$.	2
766	Multiply polynomial $ \, \color{blue}{ 6x+4 } \, $ by $ \, \color{orangered}{ x^2-9 }$.	2
767	Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -10x-9 }$.	2
768	Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -2x-6 }$.	2
769	Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -2x+6 }$.	2
770	Multiply polynomial $ \, \color{blue}{ 8x-3 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$.	2
771	Add $ \, \color{blue}{ x^2-7x+5 } \, $ and $ \, \color{orangered}{ -3x-x+10 }$.	2
772	Multiply polynomial $ \, \color{blue}{ x^2+12x+32 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
773	Multiply polynomial $ \, \color{blue}{ x^2-6x-40 } \, $ by $ \, \color{orangered}{ x-10 }$.	2
774	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ 2x^2+x-1 }$.	2
775	Multiply polynomial $ \, \color{blue}{ -18x-4x-1 } \, $ by $ \, \color{orangered}{ 5x+10 }$.	2
776	Subtract polynomials: $ \, \color{blue}{ -8x+7x-8 } \, $ , $ \, \color{orangered}{ 1820x+3x+9 }$.	2
777	Subtract polynomials: $ \, \color{blue}{ 2z^{13}+11z^{10}+7z^7+9z^5 } \, $ , $ \, \color{orangered}{ 7z^{14}-7z^{10}+7z^7+4z^5 }$.	2
778	Multiply polynomial $ \, \color{blue}{ 2x+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$.	2
779	Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
780	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$.	2
781	Add $ \, \color{blue}{ 14x-2x^2-11 } \, $ and $ \, \color{orangered}{ -2x^2-5x-7 }$.	2
782	Add $ \, \color{blue}{ 9x^2+6 } \, $ and $ \, \color{orangered}{ 2x^2-x-10 }$.	2
783	Subtract polynomials: $ \, \color{blue}{ -10x^2+4x } \, $ , $ \, \color{orangered}{ -4x^2+6x+8 }$.	2
784	Multiply polynomial $ \, \color{blue}{ 2x^2-x+4 } \, $ by $ \, \color{orangered}{ 3x^2+x+4 }$.	2
785	Add $ \, \color{blue}{ 3x^4+2-2x^3 } \, $ and $ \, \color{orangered}{ 4x^3+4x^4 }$.	2
786	Add $ \, \color{blue}{ 7x^2-4 } \, $ and $ \, \color{orangered}{ 6x^3-4x-4x^4 }$.	2
787	Subtract polynomials: $ \, \color{blue}{ 4x^3+6x-7 } \, $ , $ \, \color{orangered}{ 3x^3-5x^2-5x }$.	2
788	Subtract polynomials: $ \, \color{blue}{ 4x^3+6x-7 } \, $ , $ \, \color{orangered}{ 3x^3-5x^2-5x }$.	2
789	Multiply polynomial $ \, \color{blue}{ 5x^3 } \, $ by $ \, \color{orangered}{ 6x-8 }$.	2
790	Subtract polynomials: $ \, \color{blue}{ 12x^2-8x+11 } \, $ , $ \, \color{orangered}{ -14+10x^2-6x }$.	2
791	Add $ \, \color{blue}{ 8x^2-3x+9 } \, $ and $ \, \color{orangered}{ 4x^2+8x-2 }$.	2
792	Multiply polynomial $ \, \color{blue}{ x^2+3x } \, $ by $ \, \color{orangered}{ x^2-x+4 }$.	2
793	Subtract polynomials: $ \, \color{blue}{ 2x^2-9x+3 } \, $ , $ \, \color{orangered}{ 3x^2+3x-2 }$.	2
794	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2+2x+4 }$.	2
795	Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x+8 }$.	2
796	Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
797	Multiply polynomial $ \, \color{blue}{ 3x+7 } \, $ by $ \, \color{orangered}{ 2x+3 }$.	2
798	Multiply polynomial $ \, \color{blue}{ x-10 } \, $ by $ \, \color{orangered}{ x+2 }$.	2
799	Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ x+8 }$.	2
800	Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ 3x^3-4x^2-2x+10 }$.	2