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 |
| 1901 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1902 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1903 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1904 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1905 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1906 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1907 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1908 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1909 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1910 | Multiply polynomial $ \, \color{blue}{ m-3 } \, $ by $ \, \color{orangered}{ m^2+3m-4 }$. | 1 |
| 1911 | Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 1912 | Add $ \, \color{blue}{ x+4 } \, $ and $ \, \color{orangered}{ x+7 }$. | 1 |
| 1913 | Subtract polynomials: $ \, \color{blue}{ 2x^9+12x+x^5-8x^4 } \, $ , $ \, \color{orangered}{ -6x^{10}+11x^7+8x^5+2x^4 }$. | 1 |
| 1914 | Multiply polynomial $ \, \color{blue}{ x^5-x } \, $ by $ \, \color{orangered}{ x^8-x }$. | 1 |
| 1915 | Multiply polynomial $ \, \color{blue}{ x^2+x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 1916 | Multiply polynomial $ \, \color{blue}{ x+11 } \, $ by $ \, \color{orangered}{ -11 }$. | 1 |
| 1917 | Add $ \, \color{blue}{ x+5 } \, $ and $ \, \color{orangered}{ x-3 }$. | 1 |
| 1918 | Subtract polynomials: $ \, \color{blue}{ 3x^2+x+4 } \, $ , $ \, \color{orangered}{ 3x^2-x+2 }$. | 1 |
| 1919 | Subtract polynomials: $ \, \color{blue}{ 3x^2-x-7 } \, $ , $ \, \color{orangered}{ 2x^2+x+2 }$. | 1 |
| 1920 | Multiply polynomial $ \, \color{blue}{ x^2-2x+8 } \, $ by $ \, \color{orangered}{ 2x^2+5x-7 }$. | 1 |
| 1921 | Multiply polynomial $ \, \color{blue}{ 5x^2-x-3 } \, $ by $ \, \color{orangered}{ 2x+6 }$. | 1 |
| 1922 | Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ 2x-4 }$. | 1 |
| 1923 | Add $ \, \color{blue}{ 2-3 } \, $ and $ \, \color{orangered}{ 65-2 }$. | 1 |
| 1924 | Add $ \, \color{blue}{ 5x^2+4x-2 } \, $ and $ \, \color{orangered}{ -7x^2-9x+12 }$. | 1 |
| 1925 | Subtract polynomials: $ \, \color{blue}{ 8x^3-5x^2+7x-1 } \, $ , $ \, \color{orangered}{ 4x^3-3x^2+10 }$. | 1 |
| 1926 | Multiply polynomial $ \, \color{blue}{ x^2-x+4 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1927 | Multiply polynomial $ \, \color{blue}{ x^2+3x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 1928 | Multiply polynomial $ \, \color{blue}{ x^2-x-6 } \, $ by $ \, \color{orangered}{ 3x+1 }$. | 1 |
| 1929 | Subtract polynomials: $ \, \color{blue}{ 168m^2-3 } \, $ , $ \, \color{orangered}{ 4m-m+4 }$. | 1 |
| 1930 | Multiply polynomial $ \, \color{blue}{ 5+7 } \, $ by $ \, \color{orangered}{ 8r-2 }$. | 1 |
| 1931 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ x^2+x-6 }$. | 1 |
| 1932 | Add $ \, \color{blue}{ 5x^2+4 } \, $ and $ \, \color{orangered}{ 5+5x^3 }$. | 1 |
| 1933 | Add $ \, \color{blue}{ 8n^2-2n^3 } \, $ and $ \, \color{orangered}{ 6n^3-8n^2 }$. | 1 |
| 1934 | Add $ \, \color{blue}{ 14+12a^3 } \, $ and $ \, \color{orangered}{ 17a^4+15-5a^3 }$. | 1 |
| 1935 | Subtract polynomials: $ \, \color{blue}{ -10x+3 } \, $ , $ \, \color{orangered}{ -7x^2+5x+10 }$. | 1 |
| 1936 | Multiply polynomial $ \, \color{blue}{ -9m^6+12m^5 } \, $ by $ \, \color{orangered}{ m^2+2m+1 }$. | 1 |
| 1937 | Multiply polynomial $ \, \color{blue}{ 6s^4+15s^3 } \, $ by $ \, \color{orangered}{ 6s^3-15s^4 }$. | 1 |
| 1938 | Multiply polynomial $ \, \color{blue}{ 2x-x^3 } \, $ by $ \, \color{orangered}{ -3x^4-7x^2 }$. | 1 |
| 1939 | Multiply polynomial $ \, \color{blue}{ 3x-7 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 1 |
| 1940 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 1941 | Multiply polynomial $ \, \color{blue}{ 2x^2-5x+7 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 1942 | Multiply polynomial $ \, \color{blue}{ -2x-2x-2 } \, $ by $ \, \color{orangered}{ 0 }$. | 1 |
| 1943 | Subtract polynomials: $ \, \color{blue}{ x^2+7x+36 } \, $ , $ \, \color{orangered}{ 5x+35 }$. | 1 |
| 1944 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x+6 }$. | 1 |
| 1945 | Multiply polynomial $ \, \color{blue}{ x^2+2x } \, $ by $ \, \color{orangered}{ 3x }$. | 1 |
| 1946 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 1947 | Multiply polynomial $ \, \color{blue}{ x^2-5x+4 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1948 | Multiply polynomial $ \, \color{blue}{ -4x^2+7x-8 } \, $ by $ \, \color{orangered}{ 910x^2+3x+9 }$. | 1 |
| 1949 | Subtract polynomials: $ \, \color{blue}{ -4x^2+7x-8 } \, $ , $ \, \color{orangered}{ 910x^2+3x+9 }$. | 1 |
| 1950 | Subtract polynomials: $ \, \color{blue}{ -4x^2+7x-8 } \, $ , $ \, \color{orangered}{ 10x^2+3x+9 }$. | 1 |