Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
ID |
Problem |
Count |
101 | Multiply polynomial $ \, \color{blue}{ 10x^2-4+3 } \, $ by $ \, \color{orangered}{ 7x^2-3x+13 }$. | 4 |
102 | Multiply polynomial $ \, \color{blue}{ x^2-x+3 } \, $ by $ \, \color{orangered}{ 2x^2+4x-3 }$. | 4 |
103 | Add $ \, \color{blue}{ 5+7x^3+3x^2 } \, $ and $ \, \color{orangered}{ -12+5x+6x^2 }$. | 4 |
104 | Subtract polynomials: $ \, \color{blue}{ 10x^2+8x-5 } \, $ , $ \, \color{orangered}{ -9x^2-3x-4 }$. | 4 |
105 | Subtract polynomials: $ \, \color{blue}{ 7x^4-5x^3+8x^2+9x-13 } \, $ , $ \, \color{orangered}{ 2x^4+6x^3-4x^2-x+4 }$. | 4 |
106 | Multiply polynomial $ \, \color{blue}{ 10y+50 } \, $ by $ \, \color{orangered}{ y+6 }$. | 4 |
107 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ 2x-5 }$. | 4 |
108 | Add $ \, \color{blue}{ x^3-x^2-2x-12 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 3 |
109 | Multiply polynomial $ \, \color{blue}{ 1+4i } \, $ by $ \, \color{orangered}{ 1-4i }$. | 3 |
110 | Multiply polynomial $ \, \color{blue}{ 6x^4+4x^3+2x^2+x-2 } \, $ by $ \, \color{orangered}{ 3x^2+x-1 }$. | 3 |
111 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ 7x+12 }$. | 3 |
112 | Multiply polynomial $ \, \color{blue}{ 4b^2 } \, $ by $ \, \color{orangered}{ 4b^2+2-2b }$. | 3 |
113 | Subtract polynomials: $ \, \color{blue}{ -2x-5 } \, $ , $ \, \color{orangered}{ -9x^4+6x^3-3x^2-6x+4 }$. | 3 |
114 | Subtract polynomials: $ \, \color{blue}{ -8n^4+n^3-n^2-n-2 } \, $ , $ \, \color{orangered}{ -2n^4+5n^3-6n^2 }$. | 3 |
115 | Multiply polynomial $ \, \color{blue}{ 5k^3+3k^2-2k } \, $ by $ \, \color{orangered}{ -8k^3-20k }$. | 3 |
116 | Multiply polynomial $ \, \color{blue}{ 6x+1 } \, $ by $ \, \color{orangered}{ 3x-10 }$. | 3 |
117 | Add $ \, \color{blue}{ n^2+6n+7 } \, $ and $ \, \color{orangered}{ n^2+6n+9 }$. | 3 |
118 | Multiply polynomial $ \, \color{blue}{ 2y^2-2 } \, $ by $ \, \color{orangered}{ 5y^2-5y+2 }$. | 3 |
119 | Subtract polynomials: $ \, \color{blue}{ -12x+x-6 } \, $ , $ \, \color{orangered}{ 8x-6x-4 }$. | 3 |
120 | Add $ \, \color{blue}{ 4x^2-4x-18 } \, $ and $ \, \color{orangered}{ 4x^2-11x-1 }$. | 3 |
121 | Add $ \, \color{blue}{ 8x^2-15x-19 } \, $ and $ \, \color{orangered}{ 7-7x+2x^2 }$. | 3 |
122 | Add $ \, \color{blue}{ 3x+4 } \, $ and $ \, \color{orangered}{ 2x-6-x }$. | 3 |
123 | Subtract polynomials: $ \, \color{blue}{ 6x^2+2x } \, $ , $ \, \color{orangered}{ -9x^2-10x }$. | 3 |
124 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 3x+2 }$. | 3 |
125 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ 3x+3 }$. | 3 |
126 | Multiply polynomial $ \, \color{blue}{ 5+3x+2x^2+x^3 } \, $ by $ \, \color{orangered}{ 3+7x+4x^2+7x^3 }$. | 3 |
127 | Subtract polynomials: $ \, \color{blue}{ y^2+2y } \, $ , $ \, \color{orangered}{ y^2+5y+8 }$. | 3 |
128 | Subtract polynomials: $ \, \color{blue}{ 5x+x^4 } \, $ , $ \, \color{orangered}{ 3x^4+4x }$. | 3 |
129 | Subtract polynomials: $ \, \color{blue}{ 2p^5-5p-4 } \, $ , $ \, \color{orangered}{ 6p^5+8-p }$. | 3 |
130 | Add $ \, \color{blue}{ 2x } \, $ and $ \, \color{orangered}{ 3x^2-4x }$. | 3 |
131 | Add $ \, \color{blue}{ 3x+1 } \, $ and $ \, \color{orangered}{ 2x+4 }$. | 2 |
132 | Subtract polynomials: $ \, \color{blue}{ -x^2+4x-9 } \, $ , $ \, \color{orangered}{ 6x^2+3x-9 }$. | 2 |
133 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x-1 }$. | 2 |
134 | Subtract polynomials: $ \, \color{blue}{ -x^2+4x-9 } \, $ , $ \, \color{orangered}{ -6x^2+3x-9 }$. | 2 |
135 | Add $ \, \color{blue}{ 4w+5-7w^2 } \, $ and $ \, \color{orangered}{ 3w^2-14 }$. | 2 |
136 | Subtract polynomials: $ \, \color{blue}{ b+4b^2-3 } \, $ , $ \, \color{orangered}{ -2b^2+2b^3-9 }$. | 2 |
137 | Subtract polynomials: $ \, \color{blue}{ -2x+5 } \, $ , $ \, \color{orangered}{ -x-9 }$. | 2 |
138 | Add $ \, \color{blue}{ 5v^3 } \, $ and $ \, \color{orangered}{ 6v-8 }$. | 2 |
139 | Subtract polynomials: $ \, \color{blue}{ 15x^3-3x^2-1 } \, $ , $ \, \color{orangered}{ 10x^3-4x^2+14 }$. | 2 |
140 | Add $ \, \color{blue}{ 9a+4a^2-6 } \, $ and $ \, \color{orangered}{ a^2+2a^2-7 }$. | 2 |
141 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+2 }$. | 2 |
142 | Add $ \, \color{blue}{ -8n^4+n^3-n^2-n-2 } \, $ and $ \, \color{orangered}{ -2n^4+5n^3-6n^2 }$. | 2 |
143 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x^2-2x+1 }$. | 2 |
144 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ -2x-5 }$. | 2 |
145 | Multiply polynomial $ \, \color{blue}{ -x+1 } \, $ by $ \, \color{orangered}{ 8x+3 }$. | 2 |
146 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x^2+2x+3 }$. | 2 |
147 | Add $ \, \color{blue}{ 7m+1 } \, $ and $ \, \color{orangered}{ 9m+6 }$. | 2 |
148 | Add $ \, \color{blue}{ 4+2n^3 } \, $ and $ \, \color{orangered}{ 5n^3+2 }$. | 2 |
149 | Multiply polynomial $ \, \color{blue}{ 2x^2-5x+6 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 2 |
150 | Subtract polynomials: $ \, \color{blue}{ -c^2 } \, $ , $ \, \color{orangered}{ 5c^3 }$. | 2 |