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 | Subtract polynomials: $ \, \color{blue}{ -2x } \, $ , $ \, \color{orangered}{ -x+2 }$. | 1 |
| 952 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ x+5 }$. | 1 |
| 953 | Add $ \, \color{blue}{ -2x^2-10x } \, $ and $ \, \color{orangered}{ -x }$. | 1 |
| 954 | Add $ \, \color{blue}{ 7x-3 } \, $ and $ \, \color{orangered}{ 8x-3x-6 }$. | 1 |
| 955 | Subtract polynomials: $ \, \color{blue}{ 6a^2-3a+4 } \, $ , $ \, \color{orangered}{ a^2+3a-6 }$. | 1 |
| 956 | Add $ \, \color{blue}{ x^8+x^5+x^3 } \, $ and $ \, \color{orangered}{ x^8+x^7 }$. | 1 |
| 957 | Multiply polynomial $ \, \color{blue}{ 9x+1 } \, $ by $ \, \color{orangered}{ 3x-1 }$. | 1 |
| 958 | Multiply polynomial $ \, \color{blue}{ 4x+5 } \, $ by $ \, \color{orangered}{ 6x-5 }$. | 1 |
| 959 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 3x+8 }$. | 1 |
| 960 | Add $ \, \color{blue}{ x^2+3x+2 } \, $ and $ \, \color{orangered}{ x^3-x^2-1 }$. | 1 |
| 961 | Multiply polynomial $ \, \color{blue}{ x^2+3x+2 } \, $ by $ \, \color{orangered}{ x^3-x^2-1 }$. | 1 |
| 962 | Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ x^5+2x^2-4x }$. | 1 |
| 963 | Multiply polynomial $ \, \color{blue}{ 9x^3+4x^2+6x+3 } \, $ by $ \, \color{orangered}{ -x^3-x }$. | 1 |
| 964 | Add $ \, \color{blue}{ -6x^6-22x^5-26x^4-11x^3+5x^2+11x } \, $ and $ \, \color{orangered}{ -9x^6-4x^5-15x^4+7x^3-6x^2-3x }$. | 1 |
| 965 | Add $ \, \color{blue}{ -6x^6-22x^5-26x^4-11x^3+5x^2+11x } \, $ and $ \, \color{orangered}{ -9x^6-4x^5-15x^4-7x^3-6x^2-3x }$. | 1 |
| 966 | Add $ \, \color{blue}{ -15x^6-26x^5-41x^4-18x^3-x^2+8x } \, $ and $ \, \color{orangered}{ x^2 }$. | 1 |
| 967 | Add $ \, \color{blue}{ 3x^4-8x } \, $ and $ \, \color{orangered}{ 2x-4x^4 }$. | 1 |
| 968 | Add $ \, \color{blue}{ 2x-1 } \, $ and $ \, \color{orangered}{ 7x-2 }$. | 1 |
| 969 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ 7x-2 }$. | 1 |
| 970 | Subtract polynomials: $ \, \color{blue}{ 6x-5x^4 } \, $ , $ \, \color{orangered}{ 4x^4+6x^3+3x }$. | 1 |
| 971 | Subtract polynomials: $ \, \color{blue}{ x+7 } \, $ , $ \, \color{orangered}{ 8x^2-x-1 }$. | 1 |
| 972 | Add $ \, \color{blue}{ 5x^3-5x-1 } \, $ and $ \, \color{orangered}{ 5x+6 }$. | 1 |
| 973 | Subtract polynomials: $ \, \color{blue}{ 7x^2-x+4 } \, $ , $ \, \color{orangered}{ 3x^2-4x-3 }$. | 1 |
| 974 | Add $ \, \color{blue}{ x^2-2x-8 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 975 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 976 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 977 | Multiply polynomial $ \, \color{blue}{ x^2-2x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 978 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-6 } \, $ by $ \, \color{orangered}{ -5x^2-2x+4 }$. | 1 |
| 979 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 1 |
| 980 | Add $ \, \color{blue}{ 6x^2+3x-3 } \, $ and $ \, \color{orangered}{ 2x-2 }$. | 1 |
| 981 | Multiply polynomial $ \, \color{blue}{ x^4+5x^3 } \, $ by $ \, \color{orangered}{ 5x^4-4x^3-5x^2 }$. | 1 |
| 982 | Add $ \, \color{blue}{ 3x^2 } \, $ and $ \, \color{orangered}{ 2x^2+9x }$. | 1 |
| 983 | Multiply polynomial $ \, \color{blue}{ 20+10 } \, $ by $ \, \color{orangered}{ 3+7 }$. | 1 |
| 984 | Add $ \, \color{blue}{ 14x+3x+7 } \, $ and $ \, \color{orangered}{ 12x+7x }$. | 1 |
| 985 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ 7x }$. | 1 |
| 986 | Subtract polynomials: $ \, \color{blue}{ x } \, $ , $ \, \color{orangered}{ 7x }$. | 1 |
| 987 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 7x }$. | 1 |
| 988 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ -x^3+x^2 }$. | 1 |
| 989 | Add $ \, \color{blue}{ -x^4+x^2 } \, $ and $ \, \color{orangered}{ x^5+x^4-x^2 }$. | 1 |
| 990 | Add $ \, \color{blue}{ -x^3-x^2 } \, $ and $ \, \color{orangered}{ 9x^3+9x+1 }$. | 1 |
| 991 | Add $ \, \color{blue}{ -x^5+x^4-x^3+x^2 } \, $ and $ \, \color{orangered}{ x^4+3x^3+2x^2-x-2 }$. | 1 |
| 992 | Add $ \, \color{blue}{ -x^5+2x^4+2x^3+3x^2-x-2 } \, $ and $ \, \color{orangered}{ 8x^3-x^2+9x+1 }$. | 1 |
| 993 | Add $ \, \color{blue}{ 8x^2+3 } \, $ and $ \, \color{orangered}{ -4x^2-8x+4 }$. | 1 |
| 994 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 1 |
| 995 | Add $ \, \color{blue}{ -6x-2 } \, $ and $ \, \color{orangered}{ 6x^2-5x-10 }$. | 1 |
| 996 | Add $ \, \color{blue}{ 6x+7 } \, $ and $ \, \color{orangered}{ 8x^2+5x-1 }$. | 1 |
| 997 | Subtract polynomials: $ \, \color{blue}{ x^2-3x+2 } \, $ , $ \, \color{orangered}{ x^3-3x^2+4x-2 }$. | 1 |
| 998 | Add $ \, \color{blue}{ -3x^3+5x^2+7 } \, $ and $ \, \color{orangered}{ x^2+5x+9 }$. | 1 |
| 999 | Subtract polynomials: $ \, \color{blue}{ 7x^9+9x^5+15 } \, $ , $ \, \color{orangered}{ 10x^9+8x^5+12 }$. | 1 |
| 1000 | Subtract polynomials: $ \, \color{blue}{ x^4+8x^3+9x^2 } \, $ , $ \, \color{orangered}{ 5x^4+4x^3+2x^2 }$. | 1 |
