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 |
| 951 | Multiply polynomial $ \, \color{blue}{ 6x^3+x^2+9x+15 } \, $ by $ \, \color{orangered}{ -x^3-x }$. | 2 |
| 952 | Add $ \, \color{blue}{ -6x^3-22x^5-26x^4-11x^3+5x^2+11x } \, $ and $ \, \color{orangered}{ -9x^6-4x^5-15x^4+7x^3-6x^2-3x }$. | 2 |
| 953 | Add $ \, \color{blue}{ -5x^6-8x^5-8x^4-18x^3-x^2+11x } \, $ and $ \, \color{orangered}{ -6x^6-x^5-15x^4-16x^3-9x^2-15x }$. | 2 |
| 954 | Add $ \, \color{blue}{ -11x^6-9x^5-23x^4-34x^3-10x^2-4x } \, $ and $ \, \color{orangered}{ x^2-x }$. | 2 |
| 955 | Add $ \, \color{blue}{ 4x^3-5x^2+3x } \, $ and $ \, \color{orangered}{ -2x^3-x^2+6x }$. | 2 |
| 956 | Add $ \, \color{blue}{ x^5+x^3 } \, $ and $ \, \color{orangered}{ 6x-x^3+6x^5 }$. | 2 |
| 957 | Add $ \, \color{blue}{ m+5 } \, $ and $ \, \color{orangered}{ m^2+4m-8 }$. | 2 |
| 958 | Add $ \, \color{blue}{ 4a+2 } \, $ and $ \, \color{orangered}{ 6a^2-a+2 }$. | 2 |
| 959 | Multiply polynomial $ \, \color{blue}{ 4a+2 } \, $ by $ \, \color{orangered}{ 6a^2-a+2 }$. | 2 |
| 960 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 8x^2-x-1 }$. | 2 |
| 961 | Add $ \, \color{blue}{ 7x^2-x+4 } \, $ and $ \, \color{orangered}{ 3x^2-4x-3 }$. | 2 |
| 962 | Add $ \, \color{blue}{ x^4-2x^3-7x^3+8x+12 } \, $ and $ \, \color{orangered}{ x^4-2x^3-7x^3+8x+12 }$. | 2 |
| 963 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ x+5 }$. | 2 |
| 964 | Subtract polynomials: $ \, \color{blue}{ 6x^2+3x-3 } \, $ , $ \, \color{orangered}{ 2x-2 }$. | 2 |
| 965 | Subtract polynomials: $ \, \color{blue}{ 4q+5 } \, $ , $ \, \color{orangered}{ 4q+1 }$. | 2 |
| 966 | Multiply polynomial $ \, \color{blue}{ 3x^2-7x+5 } \, $ by $ \, \color{orangered}{ x^2-4x }$. | 2 |
| 967 | Multiply polynomial $ \, \color{blue}{ x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2+x-3 }$. | 2 |
| 968 | Multiply polynomial $ \, \color{blue}{ x^2+6x+9 } \, $ by $ \, \color{orangered}{ x^3+3x^2+9x+27 }$. | 2 |
| 969 | Multiply polynomial $ \, \color{blue}{ x^2+6x+9 } \, $ by $ \, \color{orangered}{ x^3+9x^2+27x+27 }$. | 2 |
| 970 | Multiply polynomial $ \, \color{blue}{ x^2+6x+9 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
| 971 | Multiply polynomial $ \, \color{blue}{ x^2-x-2 } \, $ by $ \, \color{orangered}{ 2x+x-6 }$. | 2 |
| 972 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+x^2-1 }$. | 2 |
| 973 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ x^3+x^2-1 }$. | 2 |
| 974 | Add $ \, \color{blue}{ -x^4+x^3 } \, $ and $ \, \color{orangered}{ x^4-x^2-x+1 }$. | 2 |
| 975 | Add $ \, \color{blue}{ x^3-x^2-x+1 } \, $ and $ \, \color{orangered}{ x^2+x }$. | 2 |
| 976 | Add $ \, \color{blue}{ x^5 } \, $ and $ \, \color{orangered}{ x^2 }$. | 2 |
| 977 | Multiply polynomial $ \, \color{blue}{ x^2+1 } \, $ by $ \, \color{orangered}{ -x^3+x^2 }$. | 2 |
| 978 | Add $ \, \color{blue}{ 4x^2-10x } \, $ and $ \, \color{orangered}{ 2x^2+5x-5 }$. | 2 |
| 979 | Add $ \, \color{blue}{ 6x+10 } \, $ and $ \, \color{orangered}{ -7x-2-9x }$. | 2 |
| 980 | Add $ \, \color{blue}{ 3x^2+10 } \, $ and $ \, \color{orangered}{ -7x^2-9x }$. | 2 |
| 981 | Multiply polynomial $ \, \color{blue}{ 2x^4-3x^3-15x^2+32x-12 } \, $ by $ \, \color{orangered}{ x^2-4x-12 }$. | 2 |
| 982 | Multiply polynomial $ \, \color{blue}{ 9x^5-9x^2+9x-9 } \, $ by $ \, \color{orangered}{ 9x^2-9x-9 }$. | 2 |
| 983 | Multiply polynomial $ \, \color{blue}{ 10x^6+5x^2+5 } \, $ by $ \, \color{orangered}{ -5x^3-5x^2-5x+5 }$. | 2 |
| 984 | Multiply polynomial $ \, \color{blue}{ -8x^6+8 } \, $ by $ \, \color{orangered}{ -8x^6-8x }$. | 2 |
| 985 | Subtract polynomials: $ \, \color{blue}{ 3x^4-5x+2 } \, $ , $ \, \color{orangered}{ 4x^2-6x-2 }$. | 2 |
| 986 | Add $ \, \color{blue}{ 4r^2+r^2 } \, $ and $ \, \color{orangered}{ 5r }$. | 2 |
| 987 | Multiply polynomial $ \, \color{blue}{ x^2-3x+2 } \, $ by $ \, \color{orangered}{ x-4 }$. | 2 |
| 988 | Add $ \, \color{blue}{ 2x+5 } \, $ and $ \, \color{orangered}{ x+3 }$. | 2 |
| 989 | Add $ \, \color{blue}{ 5x^4+3x^3-5x+6 } \, $ and $ \, \color{orangered}{ 4x^3-2x }$. | 2 |
| 990 | Add $ \, \color{blue}{ x-8 } \, $ and $ \, \color{orangered}{ 4x^5-31x^4-66x^2+16x+3 }$. | 2 |
| 991 | Add $ \, \color{blue}{ x^2+1 } \, $ and $ \, \color{orangered}{ x^2-1 }$. | 2 |
| 992 | Add $ \, \color{blue}{ 14x+3x+7 } \, $ and $ \, \color{orangered}{ 12x+7x }$. | 2 |
| 993 | Multiply polynomial $ \, \color{blue}{ 5x+8 } \, $ by $ \, \color{orangered}{ x-1 }$. | 2 |
| 994 | Subtract polynomials: $ \, \color{blue}{ 6x+8x-5x-3 } \, $ , $ \, \color{orangered}{ -3x+10x-4 }$. | 2 |
| 995 | Subtract polynomials: $ \, \color{blue}{ 2x^3+4x^2-5x-3 } \, $ , $ \, \color{orangered}{ -x^3+5x^2-4 }$. | 2 |
| 996 | Add $ \, \color{blue}{ 9+500 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 997 | Add $ \, \color{blue}{ x^3+27 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 998 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x^2-3x+9 }$. | 2 |
| 999 | Multiply polynomial $ \, \color{blue}{ 6x^2+6x-2 } \, $ by $ \, \color{orangered}{ 3x^2-6x+4 }$. | 2 |
| 1000 | Multiply polynomial $ \, \color{blue}{ 5x^2-6x-3 } \, $ by $ \, \color{orangered}{ 3x^2+7x+2 }$. | 2 |
