Polynomial From Roots
(the database of solved problems)
All the problems and solutions shown below were generated using the Polynomial From Roots Calculator.
| ID |
Problem |
Count |
| 2301 | Find the polynomial having roots at $ 0 $ , $ -1 $ and $ -3 $ . | 2 |
| 2302 | Find the polynomial having roots at $ 6 $ , $ -1 $ and $ -1 $ . | 2 |
| 2303 | Find the polynomial having roots at $ 7 $ , $ 3 $ and $ 10 $ . | 2 |
| 2304 | Find the polynomial having roots at $ 1 $ , $ 2 $ and $ \dfrac{ 1 }{ 2 } $ . | 2 |
| 2305 | Find the polynomial having roots at $ 1 $ , $ 2 $ , $ -3 $ and $ 5 $ . | 2 |
| 2306 | Find the polynomial having roots at $ 1 $ , $ -2 $ , $ 2 $ and $ -\dfrac{ 1 }{ 3 } $ . | 2 |
| 2307 | Find the polynomial having roots at $ -1 $ , $ 2 $ , $ 1 $ , $ 3 $ and $ -2 $ . | 2 |
| 2308 | Find the polynomial having roots at $ -6 $ , $ 0 $ , $ 0 $ , $ 84 $ , $ 4 $ , $ 0 $ , $ 7 $ and $ 0 $ . | 2 |
| 2309 | Find the polynomial having roots at $ 1 $ , $ -2 $ , $ 3 $ and $ -1 $ . | 2 |
| 2310 | Find the polynomial having roots at $ 1 $ , $ 2 $ , $ -1 $ and $ 3 $ . | 2 |
| 2311 | Find the polynomial having roots at $ 2 $ , $ 1 $ , $ -3 $ and $ -1 $ . | 2 |
| 2312 | Find the polynomial having roots at $ 2 $ , $ 1 $ , $ -2 $ and $ -1 $ . | 2 |
| 2313 | Find the polynomial having roots at $ -2 $ , $ -1 $ , $ -1 $ and $ 4 $ . | 2 |
| 2314 | Find the polynomial having roots at $ -1 $ , $ 2 $ , $ -3 $ and $ -1 $ . | 2 |
| 2315 | Find the polynomial having roots at $ -1 $ , $ 2 $ and $ \dfrac{ 1 }{ 3 } $ . | 2 |
| 2316 | Find the polynomial having roots at $ \dfrac{ 3 }{ 4 } $ and $ 1 $ . | 2 |
| 2317 | Find the polynomial having roots at $ 2 $ , $ 3 $ , $ -2 $ and $ 1 $ . | 2 |
| 2318 | Find the polynomial having roots at $ -1 $ , $ 3 $ and $ \dfrac{ 1 }{ 2 } $ . | 2 |
| 2319 | Find the polynomial having roots at $ -1 $ , $ 4 $ and $ -2 $ . | 2 |
| 2320 | Find the polynomial having roots at $ -1 $ , $ \dfrac{ 1 }{ 3 } $ and $ -2 $ . | 2 |
| 2321 | Find the polynomial having roots at $ -2 $ , $ 3 $ and $ -1 $ . | 2 |
| 2322 | Find the polynomial having roots at $ 0 $ , $ -1 $ and $ -3 $ . | 2 |
| 2323 | Find the polynomial having roots at $ -2 $ , $ 3 $ and $ -\dfrac{ 1 }{ 2 } $ . | 2 |
| 2324 | Find the polynomial having roots at $ -2 $ , $ 3 $ , $ 2 $ and $ -1 $ . | 2 |
| 2325 | Find the polynomial having roots at $ -2 $ , $ 3 $ , $ \dfrac{ 1 }{ 4 } $ and $ 1 $ . | 2 |
| 2326 | Find the polynomial having roots at $ 2 $ , $ 2 $ and $ -2 $ . | 2 |
| 2327 | Find the polynomial having roots at $ 4 $ , $ 2 $ and $ \dfrac{ 1 }{ 2 } $ . | 2 |
| 2328 | Find the polynomial having roots at $ 1 $ , $ -1 $ , $ \dfrac{ 1 }{ 3 } $ and $ 2 $ . | 2 |
| 2329 | Find the polynomial having roots at $ 2 $ , $ 1 $ and $ \dfrac{ 1 }{ 6 } $ . | 2 |
| 2330 | Find the polynomial having roots at $ 2 $ , $ 1 $ , $ \dfrac{ 1 }{ 6 } $ and $ \dfrac{ 2 }{ 3 } $ . | 2 |
| 2331 | Find the polynomial having roots at $ -6 $ , $ \dfrac{ 1 }{ 3 } $ and $ 1 $ . | 2 |
| 2332 | Find the polynomial having roots at $ -4 $ , $ \dfrac{ 1 }{ 5 } $ and $ \dfrac{ 1 }{ 2 } $ . | 2 |
| 2333 | Find the polynomial having roots at $ -2 $ , $ -2 $ , $ -2 $ , $ 1 $ , $ 1 $ , $ 4 $ , $ 4 $ and $ 3 $ . | 2 |
| 2334 | Find the polynomial having roots at $ 6 $ , $ 6 $ , $ 6 $ , $ 6 $ , $ 6 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ -1 $ , $ -1 $ and $ 2 $ . | 2 |
| 2335 | Find the polynomial having roots at $ -3 $ , $ -3 $ , $ -3 $ , $ -3 $ , $ 1 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ 3 $ , $ 3 $ , $ 3 $ and $ 3 $ . | 2 |
| 2336 | Find the polynomial having roots at $ 3 $ , $ 3 $ , $ 3 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ -1 $ , $ -1 $ , $ -1 $ and $ -1 $ . | 2 |
| 2337 | Find the polynomial having roots at $ 3 $ , $ 3 $ , $ 3 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ -1 $ , $ -1 $ , $ -1 $ , $ -1 $ and $ -1 $ . | 2 |
| 2338 | Find the polynomial having roots at $ -1 $ and $ -7 $ . | 2 |
| 2339 | Find the polynomial having roots at $ 1 $ , $ -8 $ and $ -3 $ . | 2 |
| 2340 | Find the polynomial having roots at $ -1 $ , $ 1 $ , $ 6 $ and $ -6 $ . | 2 |
| 2341 | Find the polynomial having roots at $ 2 $ , $ 2 $ , $ 2 $ , $ -1 $ , $ -1 $ , $ 1 $ , $ 1 $ and $ 3 $ . | 2 |
| 2342 | Find the polynomial having roots at $ 2 $ , $ 2 $ , $ 2 $ , $ 1 $ , $ 1 $ , $ -1 $ and $ -1 $ . | 2 |
| 2343 | Find the polynomial having roots at $ 1 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ -4 $ and $ -4 $ . | 2 |
| 2344 | Find the polynomial having roots at $ -2 $ , $ 0 $ , $ 0 $ , $ 0 $ , $ \dfrac{ 7 }{ 5 } $ , $ 0 $ , $ -\dfrac{ 7 }{ 5 } $ , $ -\dfrac{ 3 }{ 5 } $ , $ \dfrac{ 4 }{ 5 } $ and $ -\dfrac{ 2 }{ 5 } $ . | 2 |
| 2345 | Find the polynomial having roots at $ 1 $ , $ -\dfrac{ 1 }{ 2 } $ , $ 2 $ and $ -\dfrac{ 1 }{ 2 } $ . | 2 |
| 2346 | Find the polynomial having roots at $ -1 $ , $ 2 $ and $ -\dfrac{ 1 }{ 2 } $ . | 2 |
| 2347 | Find the polynomial having roots at $ \dfrac{ 1 }{ 2 } $ , $ 4 $ , $ \dfrac{ 3 }{ 2 } $ and $ \dfrac{ 1 }{ 8 } $ . | 2 |
| 2348 | Find the polynomial having roots at $ 5 $ , $ 2 $ , $ -1 $ and $ -3 $ . | 2 |
| 2349 | Find the polynomial having roots at $ -5 $ , $ -2 $ , $ 1 $ and $ 3 $ . | 2 |
| 2350 | Find the polynomial having roots at $ -2 $ , $ -1 $ , $ \dfrac{ 1 }{ 2 } $ and $ -\dfrac{ 1 }{ 2 } $ . | 2 |
