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}{ 10a } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 31 |
2 | Subtract polynomials: $ \, \color{blue}{ 2x^3-3 } \, $ , $ \, \color{orangered}{ x^2-15x }$. | 28 |
3 | Multiply polynomial $ \, \color{blue}{ 10a } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 23 |
4 | Multiply polynomial $ \, \color{blue}{ 5a+2 } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 20 |
5 | Add $ \, \color{blue}{ 2x^3-2x-3 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 19 |
6 | Add $ \, \color{blue}{ 2a+5 } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 11 |
7 | Subtract polynomials: $ \, \color{blue}{ 2x^2+x-3 } \, $ , $ \, \color{orangered}{ x^2-3x+5 }$. | 9 |
8 | Multiply polynomial $ \, \color{blue}{ 4b^2-2 } \, $ by $ \, \color{orangered}{ 4b^2+2-2b }$. | 6 |
9 | Subtract polynomials: $ \, \color{blue}{ 4x^2-6 } \, $ , $ \, \color{orangered}{ x^2+1 }$. | 6 |
10 | Add $ \, \color{blue}{ 4x-3 } \, $ and $ \, \color{orangered}{ x+6 }$. | 6 |
11 | Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ 2x+2 }$. | 6 |
12 | Multiply polynomial $ \, \color{blue}{ -x+3 } \, $ by $ \, \color{orangered}{ -x-5 }$. | 6 |
13 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 5+3x-4x^2 }$. | 6 |
14 | Add $ \, \color{blue}{ 6+7q^3-3q^4 } \, $ and $ \, \color{orangered}{ 9q^4+2q^2-4 }$. | 5 |
15 | Multiply polynomial $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ by $ \, \color{orangered}{ -11c^2-15 }$. | 5 |
16 | Subtract polynomials: $ \, \color{blue}{ x^2+4x } \, $ , $ \, \color{orangered}{ 2x^2-5x+3 }$. | 5 |
17 | Subtract polynomials: $ \, \color{blue}{ 10x^2-4+3 } \, $ , $ \, \color{orangered}{ 7x^2-3x+13 }$. | 5 |
18 | Add $ \, \color{blue}{ 3x^2-x+1 } \, $ and $ \, \color{orangered}{ 15-9x-2x^2 }$. | 5 |
19 | Subtract polynomials: $ \, \color{blue}{ 3u^2 } \, $ , $ \, \color{orangered}{ -15u }$. | 5 |
20 | Add $ \, \color{blue}{ 31y-140y } \, $ and $ \, \color{orangered}{ 14y-64y }$. | 5 |
21 | Subtract polynomials: $ \, \color{blue}{ 3a-4a } \, $ , $ \, \color{orangered}{ 6a-12a }$. | 5 |
22 | Subtract polynomials: $ \, \color{blue}{ 9q^4+2q^2-4 } \, $ , $ \, \color{orangered}{ q^3+8q^2-5 }$. | 5 |
23 | Subtract polynomials: $ \, \color{blue}{ 5x+x } \, $ , $ \, \color{orangered}{ 3x+4x }$. | 5 |
24 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 5 |
25 | Subtract polynomials: $ \, \color{blue}{ x^2+8x } \, $ , $ \, \color{orangered}{ -3x^2-3x-7 }$. | 4 |
26 | Add $ \, \color{blue}{ 7x^2+x+1 } \, $ and $ \, \color{orangered}{ 6x^2-8x-10 }$. | 4 |
27 | Add $ \, \color{blue}{ 5x+14 } \, $ and $ \, \color{orangered}{ 2x^2-4x+3 }$. | 4 |
28 | Add $ \, \color{blue}{ 4r^2-4r-8 } \, $ and $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 4 |
29 | Subtract polynomials: $ \, \color{blue}{ 4r^2-4r-8 } \, $ , $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 4 |
30 | Add $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ and $ \, \color{orangered}{ -11c^2-15 }$. | 4 |
31 | Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ x-3 }$. | 4 |
32 | Multiply polynomial $ \, \color{blue}{ 2y^2 } \, $ by $ \, \color{orangered}{ 5y^2-5y+2 }$. | 4 |
33 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ x+6 }$. | 4 |
34 | Subtract polynomials: $ \, \color{blue}{ 6a^2+5a+10 } \, $ , $ \, \color{orangered}{ 4a^2+6a+12 }$. | 4 |
35 | Subtract polynomials: $ \, \color{blue}{ 7y+1 } \, $ , $ \, \color{orangered}{ 3y+1 }$. | 4 |
36 | Subtract polynomials: $ \, \color{blue}{ 18w+8w+5 } \, $ , $ \, \color{orangered}{ 2w+1 }$. | 4 |
37 | Subtract polynomials: $ \, \color{blue}{ 81w+8w+5 } \, $ , $ \, \color{orangered}{ 2w+1 }$. | 4 |
38 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 3x+4 }$. | 4 |
39 | Subtract polynomials: $ \, \color{blue}{ 10x^2+8x-5 } \, $ , $ \, \color{orangered}{ -9x^2-3x-4 }$. | 4 |
40 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 5x+1 }$. | 4 |
41 | Multiply polynomial $ \, \color{blue}{ 4-5m } \, $ by $ \, \color{orangered}{ 4-5m }$. | 4 |
42 | Multiply polynomial $ \, \color{blue}{ -5m+2 } \, $ by $ \, \color{orangered}{ -5m+2 }$. | 4 |
43 | Multiply polynomial $ \, \color{blue}{ -8-6i } \, $ by $ \, \color{orangered}{ -8+6i }$. | 3 |
44 | Multiply polynomial $ \, \color{blue}{ 2u^2+5 } \, $ by $ \, \color{orangered}{ 5u-2u^2+2 }$. | 3 |
45 | Subtract polynomials: $ \, \color{blue}{ 3q^4+3q^3+7q^2+q+9 } \, $ , $ \, \color{orangered}{ 3q^4+q^3+5q^2+q+7 }$. | 3 |
46 | Add $ \, \color{blue}{ x^3-x^2-2x-12 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 3 |
47 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 3 |
48 | Multiply polynomial $ \, \color{blue}{ 1+4i } \, $ by $ \, \color{orangered}{ 1-4i }$. | 3 |
49 | Subtract polynomials: $ \, \color{blue}{ 7f^2-f } \, $ , $ \, \color{orangered}{ -4f+5 }$. | 3 |
50 | Subtract polynomials: $ \, \color{blue}{ -2x-5 } \, $ , $ \, \color{orangered}{ -9x^4+6x^3-3x^2-6x+4 }$. | 3 |