Operations on polynomials
(the database of solved problems)
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
| ID |
Problem |
Count |
| 801 | Multiply polynomial $ \, \color{blue}{ 8a^2+2a+8 } \, $ by $ \, \color{orangered}{ 9a^3+7a^2+5a+9 }$. | 2 |
| 802 | Add $ \, \color{blue}{ 8a^2+2a+8 } \, $ and $ \, \color{orangered}{ 9a^3+7a^2+5a+9 }$. | 2 |
| 803 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 2x^2+3x-1 }$. | 2 |
| 804 | Multiply polynomial $ \, \color{blue}{ x^3+x^2+1 } \, $ by $ \, \color{orangered}{ x^2-x-5 }$. | 2 |
| 805 | Multiply polynomial $ \, \color{blue}{ -4x+3 } \, $ by $ \, \color{orangered}{ 2x^2 }$. | 2 |
| 806 | Subtract polynomials: $ \, \color{blue}{ 5x } \, $ , $ \, \color{orangered}{ x+3 }$. | 2 |
| 807 | Subtract polynomials: $ \, \color{blue}{ 4x } \, $ , $ \, \color{orangered}{ x+3 }$. | 2 |
| 808 | Subtract polynomials: $ \, \color{blue}{ 4x+5 } \, $ , $ \, \color{orangered}{ -4x }$. | 2 |
| 809 | Multiply polynomial $ \, \color{blue}{ -3x } \, $ by $ \, \color{orangered}{ 3x^2-5x }$. | 2 |
| 810 | Subtract polynomials: $ \, \color{blue}{ 4x } \, $ , $ \, \color{orangered}{ -x^2+2x }$. | 2 |
| 811 | Add $ \, \color{blue}{ -2x+5 } \, $ and $ \, \color{orangered}{ -3x^2 }$. | 2 |
| 812 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 2x^2-3x }$. | 2 |
| 813 | Add $ \, \color{blue}{ 2x^2-7x } \, $ and $ \, \color{orangered}{ -x }$. | 2 |
| 814 | Add $ \, \color{blue}{ -5x+1 } \, $ and $ \, \color{orangered}{ 4x+6 }$. | 2 |
| 815 | Subtract polynomials: $ \, \color{blue}{ 3x^2-9x } \, $ , $ \, \color{orangered}{ x^2-9x }$. | 2 |
| 816 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ x^2-3x }$. | 2 |
| 817 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ -x+4 }$. | 2 |
| 818 | Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ 3x+1 }$. | 2 |
| 819 | Add $ \, \color{blue}{ 5x+5 } \, $ and $ \, \color{orangered}{ 5x+1 }$. | 2 |
| 820 | Multiply polynomial $ \, \color{blue}{ -2x+2 } \, $ by $ \, \color{orangered}{ x+1 }$. | 2 |
| 821 | Multiply polynomial $ \, \color{blue}{ -2x^2+2 } \, $ by $ \, \color{orangered}{ x+2 }$. | 2 |
| 822 | Add $ \, \color{blue}{ -3x^2+7x } \, $ and $ \, \color{orangered}{ -x+1 }$. | 2 |
| 823 | Subtract polynomials: $ \, \color{blue}{ 2x+1 } \, $ , $ \, \color{orangered}{ x^2-2x+1 }$. | 2 |
| 824 | Multiply polynomial $ \, \color{blue}{ 3x+7 } \, $ by $ \, \color{orangered}{ 3x+7 }$. | 2 |
| 825 | Subtract polynomials: $ \, \color{blue}{ -5x^2+5x-5 } \, $ , $ \, \color{orangered}{ 3x^2+x }$. | 2 |
| 826 | Multiply polynomial $ \, \color{blue}{ -14b-5b-2 } \, $ by $ \, \color{orangered}{ -2b-5b+4 }$. | 2 |
| 827 | Subtract polynomials: $ \, \color{blue}{ -9r-4+14r^2 } \, $ , $ \, \color{orangered}{ 2r-11r^2+5 }$. | 2 |
| 828 | Add $ \, \color{blue}{ 3x^3+3x^2-4x+5 } \, $ and $ \, \color{orangered}{ x^3-2x^2+x-4 }$. | 2 |
| 829 | Multiply polynomial $ \, \color{blue}{ 3x^3+3x^2-4x+5 } \, $ by $ \, \color{orangered}{ x^3-2x^2+x-4 }$. | 2 |
| 830 | Add $ \, \color{blue}{ 4x^3-5x^2+3x } \, $ and $ \, \color{orangered}{ -2x-x^2+6x }$. | 2 |
| 831 | Multiply polynomial $ \, \color{blue}{ 5x^4-2x^2-10x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 832 | Multiply polynomial $ \, \color{blue}{ 5a^5 } \, $ by $ \, \color{orangered}{ 4a^4 }$. | 2 |
| 833 | Multiply polynomial $ \, \color{blue}{ 2x^2-3 } \, $ by $ \, \color{orangered}{ x^2+5x-1 }$. | 2 |
| 834 | Add $ \, \color{blue}{ -2x^2-3x-5 } \, $ and $ \, \color{orangered}{ -2x^2-3x+8 }$. | 2 |
| 835 | Multiply polynomial $ \, \color{blue}{ s^5+41s^4+613s^3+3705s^2+9450s } \, $ by $ \, \color{orangered}{ s^5+32s^4+363s^3+2092s^2+5052s+4320 }$. | 2 |
| 836 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+248832000 } \, $ and $ \, \color{orangered}{ s^9+58s^8+1409s^7+18408s^6+142405s^5+669884s^4+1847585s^3+2626050s^2+1323000s }$. | 2 |
| 837 | Add $ \, \color{blue}{ x+5 } \, $ and $ \, \color{orangered}{ x-2 }$. | 2 |
| 838 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 839 | Multiply polynomial $ \, \color{blue}{ 3x^2+x-4 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 840 | Add $ \, \color{blue}{ 7x+12 } \, $ and $ \, \color{orangered}{ 5x^2-3x+4 }$. | 2 |
| 841 | Subtract polynomials: $ \, \color{blue}{ 9x^2-4 } \, $ , $ \, \color{orangered}{ 10x^2+9x-8 }$. | 2 |
| 842 | Subtract polynomials: $ \, \color{blue}{ 7x^2-x-1 } \, $ , $ \, \color{orangered}{ x^2+3x+3 }$. | 2 |
| 843 | Subtract polynomials: $ \, \color{blue}{ 9x+5 } \, $ , $ \, \color{orangered}{ 3x-3 }$. | 2 |
| 844 | Add $ \, \color{blue}{ 3f } \, $ and $ \, \color{orangered}{ 3f }$. | 2 |
| 845 | Add $ \, \color{blue}{ x^3+3x^2-18 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 846 | Add $ \, \color{blue}{ 4x^2-5x+3 } \, $ and $ \, \color{orangered}{ -5x^2-9x-5 }$. | 2 |
| 847 | Subtract polynomials: $ \, \color{blue}{ 6x^5+5x^3+11x-11 } \, $ , $ \, \color{orangered}{ -8x^4-10x^3+12x-4 }$. | 2 |
| 848 | Subtract polynomials: $ \, \color{blue}{ 2x^2+1 } \, $ , $ \, \color{orangered}{ x^2-2x+1 }$. | 2 |
| 849 | Subtract polynomials: $ \, \color{blue}{ 3-6x^5-8x^4 } \, $ , $ \, \color{orangered}{ -6x^4-3x-8x^5 }$. | 2 |
| 850 | Multiply polynomial $ \, \color{blue}{ 5x+7+x^2+6 } \, $ by $ \, \color{orangered}{ -3 }$. | 2 |
