Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
ID |
Problem |
Count |
51 | Subtract polynomials: $ \, \color{blue}{ 4r^2-4r-8 } \, $ , $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 6 |
52 | Multiply polynomial $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ by $ \, \color{orangered}{ -11c^2-15 }$. | 6 |
53 | Add $ \, \color{blue}{ 4x-3 } \, $ and $ \, \color{orangered}{ x+6 }$. | 6 |
54 | Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ 2x+2 }$. | 6 |
55 | Multiply polynomial $ \, \color{blue}{ 3x-2x+x-1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 6 |
56 | Multiply polynomial $ \, \color{blue}{ 9026 } \, $ by $ \, \color{orangered}{ -9005 }$. | 6 |
57 | Add $ \, \color{blue}{ x^2-8 } \, $ and $ \, \color{orangered}{ -4x+3x^2-10 }$. | 6 |
58 | Add $ \, \color{blue}{ 21y-140y } \, $ and $ \, \color{orangered}{ 14y-64y }$. | 6 |
59 | Multiply polynomial $ \, \color{blue}{ 31y-140y } \, $ by $ \, \color{orangered}{ 14y-64y }$. | 6 |
60 | Subtract polynomials: $ \, \color{blue}{ 7y+1 } \, $ , $ \, \color{orangered}{ 3y+1 }$. | 6 |
61 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 3x+4 }$. | 6 |
62 | Multiply polynomial $ \, \color{blue}{ 9x^2+6x-8 } \, $ by $ \, \color{orangered}{ x+2 }$. | 6 |
63 | Add $ \, \color{blue}{ 7x^3+4x^2+3x+12 } \, $ and $ \, \color{orangered}{ 9x^3-2x^2+5x-8 }$. | 6 |
64 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 6 |
65 | Multiply polynomial $ \, \color{blue}{ 4-5m } \, $ by $ \, \color{orangered}{ 4-5m }$. | 6 |
66 | Multiply polynomial $ \, \color{blue}{ -5m+2 } \, $ by $ \, \color{orangered}{ -5m+2 }$. | 6 |
67 | Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ 6x^2-5 }$. | 6 |
68 | Subtract polynomials: $ \, \color{blue}{ x^2+8x } \, $ , $ \, \color{orangered}{ -3x^2-3x-7 }$. | 5 |
69 | Subtract polynomials: $ \, \color{blue}{ 2p^6-4 } \, $ , $ \, \color{orangered}{ 6p^5+8-p^7 }$. | 5 |
70 | Subtract polynomials: $ \, \color{blue}{ 7f^2-f } \, $ , $ \, \color{orangered}{ -4f+5 }$. | 5 |
71 | Add $ \, \color{blue}{ -q+4 } \, $ and $ \, \color{orangered}{ 7q^3-4q^2+8q+5 }$. | 5 |
72 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x+2 }$. | 5 |
73 | Multiply polynomial $ \, \color{blue}{ 5x^2-3 } \, $ by $ \, \color{orangered}{ x^2-2 }$. | 5 |
74 | Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ x-3 }$. | 5 |
75 | Subtract polynomials: $ \, \color{blue}{ 4n-3n^3 } \, $ , $ \, \color{orangered}{ 3n^3+4n }$. | 5 |
76 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ 2x^2-3x-2 }$. | 5 |
77 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ 2x^2-3x-2 }$. | 5 |
78 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 2x^2+3x+5 }$. | 5 |
79 | Add $ \, \color{blue}{ 10x^2+4x-22 } \, $ and $ \, \color{orangered}{ 7x^2-5x+18 }$. | 5 |
80 | Add $ \, \color{blue}{ 3x^2-x+1 } \, $ and $ \, \color{orangered}{ 15-9x-2x^2 }$. | 5 |
81 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 5 |
82 | Multiply polynomial $ \, \color{blue}{ y^2+2y } \, $ by $ \, \color{orangered}{ y^2+5y+8 }$. | 5 |
83 | Subtract polynomials: $ \, \color{blue}{ 8x^3-10x^2+30 } \, $ , $ \, \color{orangered}{ 4x^3-7x^2-6 }$. | 5 |
84 | Multiply polynomial $ \, \color{blue}{ 4x^2+6 } \, $ by $ \, \color{orangered}{ 2x^2-2 }$. | 5 |
85 | Multiply polynomial $ \, \color{blue}{ -8-6i } \, $ by $ \, \color{orangered}{ -8+6i }$. | 4 |
86 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x-1 }$. | 4 |
87 | Multiply polynomial $ \, \color{blue}{ 6x+1 } \, $ by $ \, \color{orangered}{ 3x+10 }$. | 4 |
88 | Add $ \, \color{blue}{ 7x^2+x+1 } \, $ and $ \, \color{orangered}{ 6x^2-8x-10 }$. | 4 |
89 | Multiply polynomial $ \, \color{blue}{ 5x-3 } \, $ by $ \, \color{orangered}{ 5x+11 }$. | 4 |
90 | Multiply polynomial $ \, \color{blue}{ 8x-3 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 4 |
91 | Multiply polynomial $ \, \color{blue}{ 5x+6 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 4 |
92 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 3x+5 }$. | 4 |
93 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x-3 }$. | 4 |
94 | Add $ \, \color{blue}{ -3a^3-4a^2-9a } \, $ and $ \, \color{orangered}{ -8a^3-9a+5 }$. | 4 |
95 | Add $ \, \color{blue}{ 4r^2-4r-8 } \, $ and $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 4 |
96 | Add $ \, \color{blue}{ 8s^3+6s^2+3s } \, $ and $ \, \color{orangered}{ 8s^3+6s+2 }$. | 4 |
97 | Subtract polynomials: $ \, \color{blue}{ -2v^2-8v-7 } \, $ , $ \, \color{orangered}{ -4v+8 }$. | 4 |
98 | Multiply polynomial $ \, \color{blue}{ 4x^2+3x } \, $ by $ \, \color{orangered}{ 7x^2-2x }$. | 4 |
99 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+1 }$. | 4 |
100 | Multiply polynomial $ \, \color{blue}{ 4x^2+3x+4 } \, $ by $ \, \color{orangered}{ 3x^2-4x-3 }$. | 4 |