Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
ID |
Problem |
Count |
1 | Add $ \, \color{blue}{ 2x^3-2x-3 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 36 |
2 | Add $ \, \color{blue}{ 10a } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 31 |
3 | Subtract polynomials: $ \, \color{blue}{ 2x^3-3 } \, $ , $ \, \color{orangered}{ x^2-15x }$. | 28 |
4 | Multiply polynomial $ \, \color{blue}{ 5a+2 } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 25 |
5 | Multiply polynomial $ \, \color{blue}{ 10a } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 23 |
6 | Add $ \, \color{blue}{ 2a+5 } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 17 |
7 | Subtract polynomials: $ \, \color{blue}{ 2x^2+x-3 } \, $ , $ \, \color{orangered}{ x^2-3x+5 }$. | 13 |
8 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 5+3x-4x^2 }$. | 11 |
9 | Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 3x^2-4x }$. | 11 |
10 | Add $ \, \color{blue}{ x^2-4x-10 } \, $ and $ \, \color{orangered}{ x^2-9x+3 }$. | 10 |
11 | Subtract polynomials: $ \, \color{blue}{ x^2+4x } \, $ , $ \, \color{orangered}{ 2x^2-5x+3 }$. | 10 |
12 | Subtract polynomials: $ \, \color{blue}{ 3u^2 } \, $ , $ \, \color{orangered}{ -15u }$. | 10 |
13 | Subtract polynomials: $ \, \color{blue}{ 10x^2-4+3 } \, $ , $ \, \color{orangered}{ 7x^2-3x+13 }$. | 9 |
14 | Add $ \, \color{blue}{ 10x^2-4+3 } \, $ and $ \, \color{orangered}{ 7x^2-3x+13 }$. | 9 |
15 | Subtract polynomials: $ \, \color{blue}{ 5x+x } \, $ , $ \, \color{orangered}{ 3x+4x }$. | 9 |
16 | Subtract polynomials: $ \, \color{blue}{ 3q^4+3q^3+7q^2+q+9 } \, $ , $ \, \color{orangered}{ 3q^4+q^3+5q^2+q+7 }$. | 8 |
17 | Multiply polynomial $ \, \color{blue}{ 4b^2-2 } \, $ by $ \, \color{orangered}{ 4b^2+2-2b }$. | 8 |
18 | Add $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ and $ \, \color{orangered}{ -11c^2-15 }$. | 8 |
19 | Subtract polynomials: $ \, \color{blue}{ 4x^2-6 } \, $ , $ \, \color{orangered}{ x^2+1 }$. | 8 |
20 | Multiply polynomial $ \, \color{blue}{ -x+3 } \, $ by $ \, \color{orangered}{ -x-5 }$. | 8 |
21 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 5x-3 }$. | 8 |
22 | Add $ \, \color{blue}{ 31y-140y } \, $ and $ \, \color{orangered}{ 14y-64y }$. | 8 |
23 | Subtract polynomials: $ \, \color{blue}{ 18w+8w+5 } \, $ , $ \, \color{orangered}{ 2w+1 }$. | 8 |
24 | Add $ \, \color{blue}{ 5p^2-3 } \, $ and $ \, \color{orangered}{ 2p^2-3p^3 }$. | 8 |
25 | Subtract polynomials: $ \, \color{blue}{ 3a-4a } \, $ , $ \, \color{orangered}{ 6a-12a }$. | 8 |
26 | Multiply polynomial $ \, \color{blue}{ 3q^2+5q } \, $ by $ \, \color{orangered}{ 6q^2+8q+9 }$. | 8 |
27 | Add $ \, \color{blue}{ -8x^2+3 } \, $ and $ \, \color{orangered}{ x^2+3x-8 }$. | 8 |
28 | Add $ \, \color{blue}{ 5x+14 } \, $ and $ \, \color{orangered}{ 2x^2-4x+3 }$. | 7 |
29 | Multiply polynomial $ \, \color{blue}{ 2y^2 } \, $ by $ \, \color{orangered}{ 5y^2-5y+2 }$. | 7 |
30 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ x+6 }$. | 7 |
31 | Add $ \, \color{blue}{ 7+8i } \, $ and $ \, \color{orangered}{ 2+6i }$. | 7 |
32 | Subtract polynomials: $ \, \color{blue}{ 6a^2+5a+10 } \, $ , $ \, \color{orangered}{ 4a^2+6a+12 }$. | 7 |
33 | Subtract polynomials: $ \, \color{blue}{ 81w+8w+5 } \, $ , $ \, \color{orangered}{ 2w+1 }$. | 7 |
34 | Subtract polynomials: $ \, \color{blue}{ 9q^4+2q^2-4 } \, $ , $ \, \color{orangered}{ q^3+8q^2-5 }$. | 7 |
35 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 7 |
36 | Add $ \, \color{blue}{ -4x^2-5x-1 } \, $ and $ \, \color{orangered}{ 4x^2-6x-2 }$. | 7 |
37 | Subtract polynomials: $ \, \color{blue}{ 3q^2+5q } \, $ , $ \, \color{orangered}{ 6q^2+8q+9 }$. | 7 |
38 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 7 |
39 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 7 |
40 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 5x+1 }$. | 7 |
41 | Multiply polynomial $ \, \color{blue}{ 2u^2+5 } \, $ by $ \, \color{orangered}{ 5u-2u^2+2 }$. | 6 |
42 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 6 |
43 | Add $ \, \color{blue}{ 6+7q^3-3q^4 } \, $ and $ \, \color{orangered}{ 9q^4+2q^2-4 }$. | 6 |
44 | Subtract polynomials: $ \, \color{blue}{ 4r^2-4r-8 } \, $ , $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 6 |
45 | Multiply polynomial $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ by $ \, \color{orangered}{ -11c^2-15 }$. | 6 |
46 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 6 |
47 | Add $ \, \color{blue}{ 4x-3 } \, $ and $ \, \color{orangered}{ x+6 }$. | 6 |
48 | Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ 2x+2 }$. | 6 |
49 | Multiply polynomial $ \, \color{blue}{ -6+7i } \, $ by $ \, \color{orangered}{ 4+2i }$. | 6 |
50 | Multiply polynomial $ \, \color{blue}{ 3x-2x+x-1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 6 |