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 |
| 1351 | Add $ \, \color{blue}{ 3x^4-2+8x^2 } \, $ and $ \, \color{orangered}{ 6x^2+4-7x^4 }$. | 2 |
| 1352 | Multiply polynomial $ \, \color{blue}{ 8x^2-2x-7x^2 } \, $ by $ \, \color{orangered}{ 6x+3x }$. | 2 |
| 1353 | Multiply polynomial $ \, \color{blue}{ 8x-7 } \, $ by $ \, \color{orangered}{ 8x+7 }$. | 2 |
| 1354 | Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x+4 }$. | 2 |
| 1355 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+5 }$. | 2 |
| 1356 | Multiply polynomial $ \, \color{blue}{ x+10 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 1357 | Multiply polynomial $ \, \color{blue}{ 20x^2+200x+320 } \, $ by $ \, \color{orangered}{ x^2+9x+18 }$. | 2 |
| 1358 | Multiply polynomial $ \, \color{blue}{ 3m-3 } \, $ by $ \, \color{orangered}{ 3m+3 }$. | 2 |
| 1359 | Subtract polynomials: $ \, \color{blue}{ 5x^2-6x+5 } \, $ , $ \, \color{orangered}{ 2x^2-12x+8 }$. | 2 |
| 1360 | Multiply polynomial $ \, \color{blue}{ 8x-x-9 } \, $ by $ \, \color{orangered}{ 2x-x+2 }$. | 2 |
| 1361 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x^2-8 }$. | 2 |
| 1362 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1363 | Multiply polynomial $ \, \color{blue}{ 5y } \, $ by $ \, \color{orangered}{ 3y^2-7y+4 }$. | 2 |
| 1364 | Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ x+5 }$. | 2 |
| 1365 | Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ -x^2-x^2+x }$. | 2 |
| 1366 | Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ -x^3-x^2+x }$. | 2 |
| 1367 | Multiply polynomial $ \, \color{blue}{ 9x^3+4x^2+6x+3 } \, $ by $ \, \color{orangered}{ -x^3-x }$. | 2 |
| 1368 | Add $ \, \color{blue}{ -15x^6-26x^5-41x^4-18x^3-x^2+8x } \, $ and $ \, \color{orangered}{ x^2 }$. | 2 |
| 1369 | Multiply polynomial $ \, \color{blue}{ 6x^3+x^2+9x+15 } \, $ by $ \, \color{orangered}{ -x^3-x }$. | 2 |
| 1370 | Add $ \, \color{blue}{ -11x^6-9x^5-23x^4-24x^3-14x } \, $ and $ \, \color{orangered}{ x^2-x }$. | 2 |
| 1371 | Add $ \, \color{blue}{ 3x-7x^2+2 } \, $ and $ \, \color{orangered}{ 4x^2-5+6x }$. | 2 |
| 1372 | Subtract polynomials: $ \, \color{blue}{ 3x-7x^2+2 } \, $ , $ \, \color{orangered}{ 4x^2-5+6x }$. | 2 |
| 1373 | Multiply polynomial $ \, \color{blue}{ 4-3-15 } \, $ by $ \, \color{orangered}{ -5 }$. | 2 |
| 1374 | Multiply polynomial $ \, \color{blue}{ 10x^2-2 } \, $ by $ \, \color{orangered}{ 3x+7 }$. | 2 |
| 1375 | Multiply polynomial $ \, \color{blue}{ x^2+4x+3 } \, $ by $ \, \color{orangered}{ 2x^2-16x+30 }$. | 2 |
| 1376 | Multiply polynomial $ \, \color{blue}{ 2x^3+18x^2+48x+40 } \, $ by $ \, \color{orangered}{ x^2 }$. | 2 |
| 1377 | Subtract polynomials: $ \, \color{blue}{ 6v+2v^2-8v^3 } \, $ , $ \, \color{orangered}{ 5v-6v^2+4v^3 }$. | 2 |
| 1378 | Add $ \, \color{blue}{ 6v+2v^2-8v^3 } \, $ and $ \, \color{orangered}{ 5v-6v^2+4v^3 }$. | 2 |
| 1379 | Subtract polynomials: $ \, \color{blue}{ 4w+5-7w^2 } \, $ , $ \, \color{orangered}{ 3w^2-14 }$. | 2 |
| 1380 | Multiply polynomial $ \, \color{blue}{ 5y^2-9y-2 } \, $ by $ \, \color{orangered}{ y-2 }$. | 2 |
| 1381 | Multiply polynomial $ \, \color{blue}{ 5x } \, $ by $ \, \color{orangered}{ 2x^4 }$. | 2 |
| 1382 | Add $ \, \color{blue}{ 1-2x } \, $ and $ \, \color{orangered}{ 3-4x }$. | 2 |
| 1383 | Add $ \, \color{blue}{ 4x+2 } \, $ and $ \, \color{orangered}{ 5x+2 }$. | 2 |
| 1384 | Multiply polynomial $ \, \color{blue}{ -2x-9 } \, $ by $ \, \color{orangered}{ x^6-1 }$. | 2 |
| 1385 | Multiply polynomial $ \, \color{blue}{ 2x^3+5x^2-14x+22 } \, $ by $ \, \color{orangered}{ x^4+2x^3+2x^2-2x-3 }$. | 2 |
| 1386 | Multiply polynomial $ \, \color{blue}{ -3x^2+2x-1 } \, $ by $ \, \color{orangered}{ -3x^2+x+8 }$. | 2 |
| 1387 | Add $ \, \color{blue}{ x^2+x+1 } \, $ and $ \, \color{orangered}{ 2x^2+3x+4 }$. | 2 |
| 1388 | Subtract polynomials: $ \, \color{blue}{ 4x^2-x+10 } \, $ , $ \, \color{orangered}{ x^2+10x }$. | 2 |
| 1389 | Subtract polynomials: $ \, \color{blue}{ -6x+3 } \, $ , $ \, \color{orangered}{ -6x+8 }$. | 2 |
| 1390 | Subtract polynomials: $ \, \color{blue}{ 3m^2+2m+7 } \, $ , $ \, \color{orangered}{ 2m^2+7 }$. | 2 |
| 1391 | Subtract polynomials: $ \, \color{blue}{ x^2-x+3 } \, $ , $ \, \color{orangered}{ 2x^2+4x-3 }$. | 2 |
| 1392 | Subtract polynomials: $ \, \color{blue}{ 28x+10x-2 } \, $ , $ \, \color{orangered}{ 14x+8x+4 }$. | 2 |
| 1393 | Subtract polynomials: $ \, \color{blue}{ 14x^2+10x-2 } \, $ , $ \, \color{orangered}{ 7x^2+8x+4 }$. | 2 |
| 1394 | Subtract polynomials: $ \, \color{blue}{ -7x^2-6x-7 } \, $ , $ \, \color{orangered}{ 2x^2-5x-1 }$. | 2 |
| 1395 | Subtract polynomials: $ \, \color{blue}{ 3x^2+3x+20 } \, $ , $ \, \color{orangered}{ 4x^2+8x+10 }$. | 2 |
| 1396 | Subtract polynomials: $ \, \color{blue}{ 6x^2+5x-1 } \, $ , $ \, \color{orangered}{ 7x^2+x-3 }$. | 2 |
| 1397 | Subtract polynomials: $ \, \color{blue}{ 6x^2+12 } \, $ , $ \, \color{orangered}{ -3x^2+9x+10 }$. | 2 |
| 1398 | Subtract polynomials: $ \, \color{blue}{ -14x^2-9x+12 } \, $ , $ \, \color{orangered}{ -6x^2-6x+7 }$. | 2 |
| 1399 | Add $ \, \color{blue}{ 5x^2-9x-10 } \, $ and $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 1400 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 1 |