Polynomial From Roots

(the database of solved problems)

All the problems and solutions shown below were generated using the Polynomial From Roots Calculator.

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ID	Problem	Count
3101	Find the polynomial having roots at $\frac{2}{3}$ , $- \frac{23}{3}$ and $9$ .	1
3102	Find the polynomial having roots at $2$ and $3$ .	1
3103	Find the polynomial having roots at $\frac{4}{9}$ and $3$ .	1
3104	Find the polynomial having roots at $2$ , $- 3$ and $- 1$ .	1
3105	Find the polynomial having roots at $- 3$ , $1$ and $- 2$ .	1
3106	Find the polynomial having roots at $8$ and $1$ .	1
3107	Find the polynomial having roots at $- 2$ , $- \frac{2}{3}$ and $0$ .	1
3108	Find the polynomial having roots at $11$ , $17$ , $0$ and $7$ .	1
3109	Find the polynomial having roots at $- 6$ , $- 4$ and $- 4$ .	1
3110	Find the polynomial having roots at $0$ , $- 3$ and $4$ .	1
3111	Find the polynomial having roots at $- 5$ .	1
3112	Find the polynomial having roots at $- 3$ , $3$ and $2$ .	1
3113	Find the polynomial having roots at $2$ , $2$ , $2$ , $- 1$ , $- 1$ and $2$ .	1
3114	Find the polynomial having roots at $2$ .	1
3115	Find the polynomial having roots at $\frac{4}{5}$ and $2$ .	1
3116	Find the polynomial having roots at $\frac{4}{5}$ , $- 3$ and $3$ .	1
3117	Find the polynomial having roots at $9$ , $4$ and $4$ .	1
3118	Find the polynomial having roots at $2$ , $2$ , $2$ , $- 1$ , $- 1$ and $2$ .	1
3119	Find the polynomial having roots at $1$ , $- 1$ , $- 1$ and $- 1$ .	1
3120	Find the polynomial having roots at $\frac{2}{3}$ and $5$ .	1
3121	Find the polynomial having roots at $\frac{3}{5}$ and $4$ .	1
3122	Find the polynomial having roots at $- \frac{14}{5}$ , $- \frac{17}{5}$ , $- \frac{19}{5}$ , $- \frac{21}{5}$ , $- \frac{23}{5}$ , $- \frac{49}{10}$ and $- 5$ .	1
3123	Find the polynomial having roots at $- \frac{14}{5}$ , $- \frac{17}{5}$ , $- \frac{19}{5}$ and $- \frac{21}{5}$ .	1
3124	Find the polynomial having roots at $- 2$ , $0$ and $0$ .	1
3125	Find the polynomial having roots at $4$ , $10$ and $3$ .	1
3126	Find the polynomial having roots at $4$ , $10$ and $1$ .	1
3127	Find the polynomial having roots at $- 2$ , $- 13$ , $- 1$ , $- 3$ , $1$ , $- 1$ , $2$ , $3$ , $3$ and $17$ .	1
3128	Find the polynomial having roots at $7$ and $- 4$ .	1
3129	Find the polynomial having roots at $- 9$ and $- 5$ .	1
3130	Find the polynomial having roots at $- 9$ and $8$ .	1
3131	Find the polynomial having roots at $- 9$ and $- 7$ .	1
3132	Find the polynomial having roots at $4$ and $- 9$ .	1
3133	Find the polynomial having roots at $7$ and $8$ .	1
3134	Find the polynomial having roots at $1$ and $- 2$ .	1
3135	Find the polynomial having roots at $5$ , $6$ and $- 3$ .	1
3136	Find the polynomial having roots at $2$ , $6$ and $- 7$ .	1
3137	Find the polynomial having roots at $6$ , $- 7$ and $- 2$ .	1
3138	Find the polynomial having roots at $3$ , $- 4$ and $- 2$ .	1
3139	Find the polynomial having roots at $- 1$ , $3$ and $- 3$ .	1
3140	Find the polynomial having roots at $2$ and $0$ .	1
3141	Find the polynomial having roots at $1$ and $- 7$ .	1
3142	Find the polynomial having roots at $8$ and $5$ .	1
3143	Find the polynomial having roots at $2$ , $- 7$ and $- 3$ .	1
3144	Find the polynomial having roots at $0$ , $- 2$ and $- 4$ .	1
3145	Find the polynomial having roots at $3$ , $4$ , $5$ and $6$ .	1
3146	Find the polynomial having roots at $8$ , $- 5$ , $5$ and $0$ .	1
3147	Find the polynomial having roots at $\frac{3}{4}$ and $6$ .	1
3148	Find the polynomial having roots at $- 1$ , $5$ and $3$ .	1
3149	Find the polynomial having roots at $135$ .	1
3150	Find the polynomial having roots at $10$ , $20$ and $- 10$ .	1