Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
ID |
Problem |
Count |
751 | Add $ \, \color{blue}{ 12x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
752 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 3x+8 }$. | 1 |
753 | Subtract polynomials: $ \, \color{blue}{ 7x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
754 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
755 | Subtract polynomials: $ \, \color{blue}{ -2x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
756 | Subtract polynomials: $ \, \color{blue}{ x^2-2x } \, $ , $ \, \color{orangered}{ 8x-10 }$. | 1 |
757 | Multiply polynomial $ \, \color{blue}{ x^2+x } \, $ by $ \, \color{orangered}{ x^3+x+1 }$. | 1 |
758 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x^2+7x-42-6x }$. | 1 |
759 | Subtract polynomials: $ \, \color{blue}{ 4k^2+9k-12 } \, $ , $ \, \color{orangered}{ 5k^2-k+3 }$. | 1 |
760 | Add $ \, \color{blue}{ 3x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
761 | Multiply polynomial $ \, \color{blue}{ x^6+x^4+x^3+x } \, $ by $ \, \color{orangered}{ x^7+x^5+x^2+1 }$. | 1 |
762 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ x-14 }$. | 1 |
763 | Subtract polynomials: $ \, \color{blue}{ 3000 } \, $ , $ \, \color{orangered}{ 1897 }$. | 1 |
764 | Subtract polynomials: $ \, \color{blue}{ 5x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
765 | Add $ \, \color{blue}{ 3x^2-3x+9 } \, $ and $ \, \color{orangered}{ -5x^2-8x-7 }$. | 1 |
766 | Multiply polynomial $ \, \color{blue}{ 4x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
767 | Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x^2+4x+9 }$. | 1 |
768 | Add $ \, \color{blue}{ 2x^2-5x+1 } \, $ and $ \, \color{orangered}{ x^2+3x+5 }$. | 1 |
769 | Subtract polynomials: $ \, \color{blue}{ 3x^2+8x-6 } \, $ , $ \, \color{orangered}{ 2x^2+6x-5 }$. | 1 |
770 | Subtract polynomials: $ \, \color{blue}{ x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
771 | Multiply polynomial $ \, \color{blue}{ x-6 } \, $ by $ \, \color{orangered}{ x^2-2x+4 }$. | 1 |
772 | Subtract polynomials: $ \, \color{blue}{ -6x^2+6x } \, $ , $ \, \color{orangered}{ 5x^2-9x-10 }$. | 1 |
773 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ s^9+58s^8+1409s^7+18678s^6+146995s^5+696614s^4+1907795s^3+2663850s^2+1323000s }$. | 1 |
774 | Subtract polynomials: $ \, \color{blue}{ 4x^3+3x^2-x+2 } \, $ , $ \, \color{orangered}{ 5x^3-3x^2+x-4 }$. | 1 |
775 | Multiply polynomial $ \, \color{blue}{ a+4 } \, $ by $ \, \color{orangered}{ 4a^2-a+4 }$. | 1 |
776 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 4x+1 }$. | 1 |
777 | Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 6x^2-4+9 }$. | 1 |
778 | Multiply polynomial $ \, \color{blue}{ x-14 } \, $ by $ \, \color{orangered}{ 4x }$. | 1 |
779 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ -s^9-58s^8-1409s^7-18678s^6-146995s^5-696614s^4-1907795s^3-2663850s^2-1323000s }$. | 1 |
780 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
781 | Add $ \, \color{blue}{ 2x+3 } \, $ and $ \, \color{orangered}{ 4x+5 }$. | 1 |
782 | Add $ \, \color{blue}{ 3x^2+4x+5 } \, $ and $ \, \color{orangered}{ 2x^2-3x+1 }$. | 1 |
783 | Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ x^5+2x^2-4x }$. | 1 |
784 | Add $ \, \color{blue}{ -16x+3 } \, $ and $ \, \color{orangered}{ 2x+3x-8 }$. | 1 |
785 | Multiply polynomial $ \, \color{blue}{ 4x+5 } \, $ by $ \, \color{orangered}{ 4x-5 }$. | 1 |
786 | Multiply polynomial $ \, \color{blue}{ 2u-u-3 } \, $ by $ \, \color{orangered}{ 6u-5 }$. | 1 |
787 | Multiply polynomial $ \, \color{blue}{ x^2-3x^3-7x-14 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
788 | Multiply polynomial $ \, \color{blue}{ 8 } \, $ by $ \, \color{orangered}{ 27 }$. | 1 |
789 | Multiply polynomial $ \, \color{blue}{ x^2+x-2 } \, $ by $ \, \color{orangered}{ x^2-x-6 }$. | 1 |
790 | Add $ \, \color{blue}{ 3-6n^5-8n^4 } \, $ and $ \, \color{orangered}{ -6n^4-3n-8n^5 }$. | 1 |
791 | Multiply polynomial $ \, \color{blue}{ 8x-27 } \, $ by $ \, \color{orangered}{ 15x-16 }$. | 1 |
792 | Multiply polynomial $ \, \color{blue}{ 2u^2-u-3 } \, $ by $ \, \color{orangered}{ 6u-5 }$. | 1 |
793 | Subtract polynomials: $ \, \color{blue}{ 10x^2+3 } \, $ , $ \, \color{orangered}{ 9x^2+4+1 }$. | 1 |
794 | Multiply polynomial $ \, \color{blue}{ x^3-5x^2+3x-7 } \, $ by $ \, \color{orangered}{ x^2-6x+5 }$. | 1 |
795 | Add $ \, \color{blue}{ -4x+4x^3+7+ \cancel{3x}-9 -\cancel{3x} } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 1 |
796 | Multiply polynomial $ \, \color{blue}{ 20+10 } \, $ by $ \, \color{orangered}{ 3+7 }$. | 1 |
797 | Multiply polynomial $ \, \color{blue}{ x^5+x^2+x+1 } \, $ by $ \, \color{orangered}{ x^3+1 }$. | 1 |
798 | Multiply polynomial $ \, \color{blue}{ 32x+26x+23x+22x+16x+12x+11x+10x+8x+7x+5x+4x+2x+x+1 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
799 | Add $ \, \color{blue}{ 3x^4-8x } \, $ and $ \, \color{orangered}{ 2x-4x^4 }$. | 1 |
800 | Add $ \, \color{blue}{ 4x^3+15x^2+2x-21 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |