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}{ 7x+4 } \, $ by $ \, \color{orangered}{ 3x+1 }$. | 1 |
| 1902 | Add $ \, \color{blue}{ x^2+8x+2 } \, $ and $ \, \color{orangered}{ 2x-7 }$. | 1 |
| 1903 | Multiply polynomial $ \, \color{blue}{ x^2+8x+2 } \, $ by $ \, \color{orangered}{ 2x-7 }$. | 1 |
| 1904 | Multiply polynomial $ \, \color{blue}{ b^2-8b+1 } \, $ by $ \, \color{orangered}{ b-7 }$. | 1 |
| 1905 | Add $ \, \color{blue}{ 7b^2+6b-7 } \, $ and $ \, \color{orangered}{ 4b^2-2 }$. | 1 |
| 1906 | Add $ \, \color{blue}{ 2x-5 } \, $ and $ \, \color{orangered}{ x-5 }$. | 1 |
| 1907 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 1908 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1909 | Subtract polynomials: $ \, \color{blue}{ -2x-3x+3 } \, $ , $ \, \color{orangered}{ -2x-9x+6 }$. | 1 |
| 1910 | Add $ \, \color{blue}{ 7x^6+10x^2-10 } \, $ and $ \, \color{orangered}{ 3x^6-6x^3+4 }$. | 1 |
| 1911 | Subtract polynomials: $ \, \color{blue}{ 6x+14 } \, $ , $ \, \color{orangered}{ 9x+5 }$. | 1 |
| 1912 | Subtract polynomials: $ \, \color{blue}{ 19x^2+9x+16 } \, $ , $ \, \color{orangered}{ -5x^2+12x+7 }$. | 1 |
| 1913 | Add $ \, \color{blue}{ 19x^2+12x+12 } \, $ and $ \, \color{orangered}{ 7x^2+10x+13 }$. | 1 |
| 1914 | Add $ \, \color{blue}{ -12x+3x } \, $ and $ \, \color{orangered}{ -x+6 }$. | 1 |
| 1915 | Subtract polynomials: $ \, \color{blue}{ -12x+3x } \, $ , $ \, \color{orangered}{ -x+6 }$. | 1 |
| 1916 | Subtract polynomials: $ \, \color{blue}{ -12x+3x } \, $ , $ \, \color{orangered}{ -x+6 }$. | 1 |
| 1917 | Add $ \, \color{blue}{ -18x+4x } \, $ and $ \, \color{orangered}{ -16x+8x-10 }$. | 1 |
| 1918 | Subtract polynomials: $ \, \color{blue}{ -18x+4x } \, $ , $ \, \color{orangered}{ -16x+8x-10 }$. | 1 |
| 1919 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 2x+3 }$. | 1 |
| 1920 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 2x+2 }$. | 1 |
| 1921 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ 2x+3 }$. | 1 |
| 1922 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1923 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 3x+3 }$. | 1 |
| 1924 | Multiply polynomial $ \, \color{blue}{ 2x+10x+26 } \, $ by $ \, \color{orangered}{ 2x-19x+18 }$. | 1 |
| 1925 | Multiply polynomial $ \, \color{blue}{ x^2+10x+26 } \, $ by $ \, \color{orangered}{ x^2-19x+18 }$. | 1 |
| 1926 | Subtract polynomials: $ \, \color{blue}{ x^2-8x-9 } \, $ , $ \, \color{orangered}{ 3x^2-6x-6 }$. | 1 |
| 1927 | Subtract polynomials: $ \, \color{blue}{ x^2-7x-7 } \, $ , $ \, \color{orangered}{ 6x^2-4x-5 }$. | 1 |
| 1928 | Add $ \, \color{blue}{ 6x^2+9x-8 } \, $ and $ \, \color{orangered}{ 4x^2+7x-8 }$. | 1 |
| 1929 | Multiply polynomial $ \, \color{blue}{ a+5 } \, $ by $ \, \color{orangered}{ 7a^2-a+5 }$. | 1 |
| 1930 | Multiply polynomial $ \, \color{blue}{ 4h^2 } \, $ by $ \, \color{orangered}{ -7h }$. | 1 |
| 1931 | Multiply polynomial $ \, \color{blue}{ 4p^2 } \, $ by $ \, \color{orangered}{ 3p^2-9 }$. | 1 |
| 1932 | Multiply polynomial $ \, \color{blue}{ 6f^3 } \, $ by $ \, \color{orangered}{ 7f }$. | 1 |
| 1933 | Multiply polynomial $ \, \color{blue}{ 4a+2 } \, $ by $ \, \color{orangered}{ 4a+2 }$. | 1 |
| 1934 | Multiply polynomial $ \, \color{blue}{ 3d-4 } \, $ by $ \, \color{orangered}{ 3d-4 }$. | 1 |
| 1935 | Multiply polynomial $ \, \color{blue}{ 4s+4 } \, $ by $ \, \color{orangered}{ s^2-4s+4 }$. | 1 |
| 1936 | Multiply polynomial $ \, \color{blue}{ 3v+1 } \, $ by $ \, \color{orangered}{ -3v^2+2v-2 }$. | 1 |
| 1937 | Multiply polynomial $ \, \color{blue}{ h+2 } \, $ by $ \, \color{orangered}{ -3h^2+2h-4 }$. | 1 |
| 1938 | Multiply polynomial $ \, \color{blue}{ 2x^6-10x^4-48x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1939 | Multiply polynomial $ \, \color{blue}{ x^2-4x-4 } \, $ by $ \, \color{orangered}{ 4x+5 }$. | 1 |
| 1940 | Multiply polynomial $ \, \color{blue}{ x^2-10 } \, $ by $ \, \color{orangered}{ 5x+2 }$. | 1 |
| 1941 | Multiply polynomial $ \, \color{blue}{ x^2+5-6 } \, $ by $ \, \color{orangered}{ x^2-2x+2 }$. | 1 |
| 1942 | Multiply polynomial $ \, \color{blue}{ x^2-2x+2 } \, $ by $ \, \color{orangered}{ x^2+5x-6 }$. | 1 |
| 1943 | Add $ \, \color{blue}{ 6x+5x-2 } \, $ and $ \, \color{orangered}{ 14x+8x+6 }$. | 1 |
| 1944 | Multiply polynomial $ \, \color{blue}{ 4x^2-6x+9 } \, $ by $ \, \color{orangered}{ 2x+3 }$. | 1 |
| 1945 | Add $ \, \color{blue}{ 3x^3+3x^2-4x+5 } \, $ and $ \, \color{orangered}{ x^3-2x^3+x-4 }$. | 1 |
| 1946 | Add $ \, \color{blue}{ x^3-2x^3+x-4 } \, $ and $ \, \color{orangered}{ 3x^3+3x^2-4x+5 }$. | 1 |
| 1947 | Multiply polynomial $ \, \color{blue}{ 8x^3-12x^2 } \, $ by $ \, \color{orangered}{ 4x^3+6x^2 }$. | 1 |
| 1948 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 1 |
| 1949 | Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 1950 | Multiply polynomial $ \, \color{blue}{ x^2+8x+2 } \, $ by $ \, \color{orangered}{ 2x-7 }$. | 1 |
