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 |
| 2051 | Add $ \, \color{blue}{ 5x^2+3x-2 } \, $ and $ \, \color{orangered}{ 12x^2+8x-1 }$. | 1 |
| 2052 | Subtract polynomials: $ \, \color{blue}{ 5x^2+3x-2 } \, $ , $ \, \color{orangered}{ 12x^2+8x-1 }$. | 1 |
| 2053 | Subtract polynomials: $ \, \color{blue}{ 5x^2+3x-2 } \, $ , $ \, \color{orangered}{ -12x^2-8x+1 }$. | 1 |
| 2054 | Subtract polynomials: $ \, \color{blue}{ 5x^2+3x-2 } \, $ , $ \, \color{orangered}{ 2x^2+2x+3 }$. | 1 |
| 2055 | Add $ \, \color{blue}{ 5x^2+3x-2 } \, $ and $ \, \color{orangered}{ 7x^2+5x+1 }$. | 1 |
| 2056 | Subtract polynomials: $ \, \color{blue}{ 2x^3-13x^2-20x+175 } \, $ , $ \, \color{orangered}{ 2x^3+4x^2-60x+50 }$. | 1 |
| 2057 | Multiply polynomial $ \, \color{blue}{ x^2-10x+25 } \, $ by $ \, \color{orangered}{ 2x+7 }$. | 1 |
| 2058 | Subtract polynomials: $ \, \color{blue}{ 2x^3-13x^2-20x+175 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2059 | Subtract polynomials: $ \, \color{blue}{ 2x^3-13x^2-20x+175 } \, $ , $ \, \color{orangered}{ 2x^3+4x^2-60x-50 }$. | 1 |
| 2060 | Multiply polynomial $ \, \color{blue}{ 10x^2-32x+6 } \, $ by $ \, \color{orangered}{ 2x }$. | 1 |
| 2061 | Multiply polynomial $ \, \color{blue}{ 7r-7 } \, $ by $ \, \color{orangered}{ 7r-7 }$. | 1 |
| 2062 | Subtract polynomials: $ \, \color{blue}{ -x+3 } \, $ , $ \, \color{orangered}{ -4x^2+2x+5 }$. | 1 |
| 2063 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ 2 }$. | 1 |
| 2064 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x^2+x-3 }$. | 1 |
| 2065 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x^3-5 }$. | 1 |
| 2066 | Add $ \, \color{blue}{ 6x^3+2x } \, $ and $ \, \color{orangered}{ 8x^3-9x^2+5 }$. | 1 |
| 2067 | Multiply polynomial $ \, \color{blue}{ 6x^3+2x } \, $ by $ \, \color{orangered}{ 8x^3-9x^2+5 }$. | 1 |
| 2068 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2069 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2070 | Multiply polynomial $ \, \color{blue}{ 3-2x } \, $ by $ \, \color{orangered}{ x }$. | 1 |
| 2071 | Multiply polynomial $ \, \color{blue}{ 3-2x } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2072 | Multiply polynomial $ \, \color{blue}{ 3-x } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 2073 | Multiply polynomial $ \, \color{blue}{ 11y+7 } \, $ by $ \, \color{orangered}{ y-2 }$. | 1 |
| 2074 | Multiply polynomial $ \, \color{blue}{ -8x^2+4x-2 } \, $ by $ \, \color{orangered}{ -6x^2-8x-4 }$. | 1 |
| 2075 | Multiply polynomial $ \, \color{blue}{ x^2+x-2 } \, $ by $ \, \color{orangered}{ -7x^2 }$. | 1 |
| 2076 | Multiply polynomial $ \, \color{blue}{ x^2-2x+1 } \, $ by $ \, \color{orangered}{ -7 }$. | 1 |
| 2077 | Multiply polynomial $ \, \color{blue}{ -7x^2+14x-7 } \, $ by $ \, \color{orangered}{ x-2 }$. | 1 |
| 2078 | Multiply polynomial $ \, \color{blue}{ -7x^2+14x-7 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 2079 | Multiply polynomial $ \, \color{blue}{ x^2-12x+29 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 2080 | Multiply polynomial $ \, \color{blue}{ x^2-6x } \, $ by $ \, \color{orangered}{ x^2-6x+4 }$. | 1 |
| 2081 | Multiply polynomial $ \, \color{blue}{ x^2-5x } \, $ by $ \, \color{orangered}{ x^2+10x+17 }$. | 1 |
| 2082 | Add $ \, \color{blue}{ -6x+6 } \, $ and $ \, \color{orangered}{ 2x-7 }$. | 1 |
| 2083 | Add $ \, \color{blue}{ 4x+5 } \, $ and $ \, \color{orangered}{ -5x-1 }$. | 1 |
| 2084 | Subtract polynomials: $ \, \color{blue}{ x-4 } \, $ , $ \, \color{orangered}{ 8x^2-8 }$. | 1 |
| 2085 | Subtract polynomials: $ \, \color{blue}{ -4x^2-5x-1 } \, $ , $ \, \color{orangered}{ 4x^2-6x-2 }$. | 1 |
| 2086 | Multiply polynomial $ \, \color{blue}{ 2x^3+4x^2-5 } \, $ by $ \, \color{orangered}{ 3x-1 }$. | 1 |
| 2087 | Multiply polynomial $ \, \color{blue}{ y^2+6y+9 } \, $ by $ \, \color{orangered}{ y+3 }$. | 1 |
| 2088 | Multiply polynomial $ \, \color{blue}{ 2x-9 } \, $ by $ \, \color{orangered}{ 2x+6 }$. | 1 |
| 2089 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 2x^2-5x+4 }$. | 1 |
| 2090 | Multiply polynomial $ \, \color{blue}{ x^2+2x-3 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 2091 | Add $ \, \color{blue}{ 6x^3-8x+7 } \, $ and $ \, \color{orangered}{ -4x^3-4x^2+5x-3 }$. | 1 |
| 2092 | Add $ \, \color{blue}{ 7x^2+6x } \, $ and $ \, \color{orangered}{ 8x^2+3x+8 }$. | 1 |
| 2093 | Subtract polynomials: $ \, \color{blue}{ 8x^3+8x+8 } \, $ , $ \, \color{orangered}{ 7x+8 }$. | 1 |
| 2094 | Subtract polynomials: $ \, \color{blue}{ -5x-8 } \, $ , $ \, \color{orangered}{ -7x^2+5x+3 }$. | 1 |
| 2095 | Subtract polynomials: $ \, \color{blue}{ -4x^3-1 } \, $ , $ \, \color{orangered}{ -x+2 }$. | 1 |
| 2096 | Add $ \, \color{blue}{ 8x^2+3x+4 } \, $ and $ \, \color{orangered}{ 3x^2+5x+8 }$. | 1 |
| 2097 | Subtract polynomials: $ \, \color{blue}{ 7x^3+3x^2+2x+9 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2098 | Subtract polynomials: $ \, \color{blue}{ 9x^3+4x^2+8x+7 } \, $ , $ \, \color{orangered}{ 5x^3+2x^2+x+7 }$. | 1 |
| 2099 | Multiply polynomial $ \, \color{blue}{ 4x-4 } \, $ by $ \, \color{orangered}{ 4x+4 }$. | 1 |
| 2100 | Add $ \, \color{blue}{ 2x-4 } \, $ and $ \, \color{orangered}{ 3x^2-3x+4 }$. | 1 |
