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 |
1 | Add $ \, \color{blue}{ 2a+5 } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 193 |
2 | Multiply polynomial $ \, \color{blue}{ 5a+2 } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 165 |
3 | Subtract polynomials: $ \, \color{blue}{ 2x^2+x-3 } \, $ , $ \, \color{orangered}{ x^2-3x+5 }$. | 144 |
4 | Multiply polynomial $ \, \color{blue}{ y^2+2y } \, $ by $ \, \color{orangered}{ y^2+5y+8 }$. | 124 |
5 | Add $ \, \color{blue}{ 2x^3-2x-3 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 121 |
6 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 113 |
7 | Add $ \, \color{blue}{ 5p^2-3 } \, $ and $ \, \color{orangered}{ 2p^2-3p^3 }$. | 109 |
8 | Add $ \, \color{blue}{ -3a^3-4a^2-9a } \, $ and $ \, \color{orangered}{ -8a^3-9a+5 }$. | 103 |
9 | Subtract polynomials: $ \, \color{blue}{ 2x^3-3 } \, $ , $ \, \color{orangered}{ x^2-15x }$. | 96 |
10 | Add $ \, \color{blue}{ 10a } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 90 |
11 | Add $ \, \color{blue}{ 5+7x^3+3x^2 } \, $ and $ \, \color{orangered}{ -12+5x+6x^2 }$. | 90 |
12 | Subtract polynomials: $ \, \color{blue}{ 3q^4+3q^3+7q^2+q+9 } \, $ , $ \, \color{orangered}{ 3q^4+q^3+5q^2+q+7 }$. | 88 |
13 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 84 |
14 | Add $ \, \color{blue}{ 3x^2-x+1 } \, $ and $ \, \color{orangered}{ 15-9x-2x^2 }$. | 80 |
15 | Multiply polynomial $ \, \color{blue}{ 10a } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 73 |
16 | Subtract polynomials: $ \, \color{blue}{ 4r^2-4r-8 } \, $ , $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 70 |
17 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 65 |
18 | Subtract polynomials: $ \, \color{blue}{ 3a-4a } \, $ , $ \, \color{orangered}{ 6a-12a }$. | 63 |
19 | Subtract polynomials: $ \, \color{blue}{ 7b^2+6b-7 } \, $ , $ \, \color{orangered}{ 4b^2-2 }$. | 57 |
20 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 55 |
21 | Add $ \, \color{blue}{ -q+4 } \, $ and $ \, \color{orangered}{ 7q^3-4q^2+8q+5 }$. | 53 |
22 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 49 |
23 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 5+3x-4x^2 }$. | 45 |
24 | Subtract polynomials: $ \, \color{blue}{ 7f^2-f } \, $ , $ \, \color{orangered}{ -4f+5 }$. | 45 |
25 | Multiply polynomial $ \, \color{blue}{ -4x^2-5x-1 } \, $ by $ \, \color{orangered}{ 4x^2-6x-2 }$. | 42 |
26 | Multiply polynomial $ \, \color{blue}{ 6x^2+2x } \, $ by $ \, \color{orangered}{ -9x^2-10x }$. | 42 |
27 | Multiply polynomial $ \, \color{blue}{ x^2-x+3 } \, $ by $ \, \color{orangered}{ 2x^2+4x-3 }$. | 40 |
28 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 38 |
29 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 37 |
30 | Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 3x^2-4x }$. | 37 |
31 | Add $ \, \color{blue}{ -4x^2-5x-1 } \, $ and $ \, \color{orangered}{ 4x^2-6x-2 }$. | 35 |
32 | Add $ \, \color{blue}{ 7x^3+4x^2+3x+12 } \, $ and $ \, \color{orangered}{ 9x^3-2x^2+5x-8 }$. | 32 |
33 | Subtract polynomials: $ \, \color{blue}{ x^2+8x } \, $ , $ \, \color{orangered}{ -3x^2-3x-7 }$. | 31 |
34 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 5x+1 }$. | 30 |
35 | Subtract polynomials: $ \, \color{blue}{ -8n^4+n^3-n^2-n-2 } \, $ , $ \, \color{orangered}{ -2n^4+5n^3-6n^2 }$. | 29 |
36 | Subtract polynomials: $ \, \color{blue}{ -12x+x-6 } \, $ , $ \, \color{orangered}{ 8x-6x-4 }$. | 29 |
37 | Subtract polynomials: $ \, \color{blue}{ 3u^2 } \, $ , $ \, \color{orangered}{ -15u }$. | 27 |
38 | Subtract polynomials: $ \, \color{blue}{ 3q^2+5q } \, $ , $ \, \color{orangered}{ 6q^2+8q+9 }$. | 26 |
39 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 5x-3 }$. | 24 |
40 | Subtract polynomials: $ \, \color{blue}{ 10x^2-4+3 } \, $ , $ \, \color{orangered}{ 7x^2-3x+13 }$. | 24 |
41 | Multiply polynomial $ \, \color{blue}{ 2y^2 } \, $ by $ \, \color{orangered}{ 5y^2-5y+2 }$. | 24 |
42 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 5+3x-4x }$. | 23 |
43 | Multiply polynomial $ \, \color{blue}{ 10x^2-4+3 } \, $ by $ \, \color{orangered}{ 7x^2-3x+13 }$. | 23 |
44 | Subtract polynomials: $ \, \color{blue}{ 9q^4+2q^2-4 } \, $ , $ \, \color{orangered}{ q^3+8q^2-5 }$. | 22 |
45 | Multiply polynomial $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ by $ \, \color{orangered}{ -11c^2-15 }$. | 22 |
46 | Add $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ and $ \, \color{orangered}{ -11c^2-15 }$. | 22 |
47 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 3x+4 }$. | 21 |
48 | Subtract polynomials: $ \, \color{blue}{ x^2+4x } \, $ , $ \, \color{orangered}{ 2x^2-5x+3 }$. | 21 |
49 | Subtract polynomials: $ \, \color{blue}{ -2v^2-8v-7 } \, $ , $ \, \color{orangered}{ -4v+8 }$. | 21 |
50 | Add $ \, \color{blue}{ 6+7q^3-3q^4 } \, $ and $ \, \color{orangered}{ 9q^4+2q^2-4 }$. | 21 |