Operations on polynomials

(the database of solved problems)

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

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ID	Problem	Count
201	Multiply polynomial $4 x^{2} + 3 x$ by $7 x^{2} - 2 x$ .	4
202	Multiply polynomial $x + 4$ by $x + 1$ .	4
203	Multiply polynomial $4 x^{2} + 3 x + 4$ by $3 x^{2} - 4 x - 3$ .	4
204	Multiply polynomial $5 x - 2$ by $x^{2} - 5 x + 2$ .	3
205	Add $5 x^{2} + x - 10$ and $- 12 - x + 3 x^{2}$ .	3
206	Multiply polynomial $v - 1$ by $3 v - 3$ .	3
207	Subtract polynomials: $7 x^{3} + 9 x$ , $3 x^{3} + 2$ .	3
208	Add $x^{3} - x^{2} + 3 x - 5$ and $x^{2} - x + 2$ .	3
209	Add $x^{3} + x^{2} + 3 x - 5$ and $x^{2} - x + 2$ .	3
210	Multiply polynomial $3 x^{2} + 4 x - 3$ by $8 x + 5$ .	3
211	Subtract polynomials: $- 7 n^{2} + 59 n + 44$ , $n - 9$ .	3
212	Multiply polynomial $4 q - 4$ by $4 q + 4$ .	3
213	Multiply polynomial $4 x + 2$ by $6 x - 4$ .	3
214	Multiply polynomial $6 x - 3 x$ by $- 5 x - 6$ .	3
215	Add $7$ and $2 x + 5$ .	3
216	Multiply polynomial $x - 2$ by $x^{2} - x + 3$ .	3
217	Subtract polynomials: $7 x + 3$ , $- x^{2} - 5 x + 8$ .	3
218	Multiply polynomial $7 x + 3$ by $- x^{2} - 5 x + 8$ .	3
219	Multiply polynomial $x^{2} - 3 x - 54$ by $x + 6$ .	3
220	Add $x^{3} + 8$ and $x - 2$ .	3
221	Add $3 v^{4} - 2 + 8 v^{2}$ and $6 v^{2} + 4 - 7 v^{4}$ .	3
222	Subtract polynomials: $3 x^{2} - 2 x + 4$ , $- 3 x^{2} + 6 x - 10$ .	3
223	Subtract polynomials: $- 2 x^{6} + x^{5} - 3 x^{2} - 4 x + 7$ , $x^{5} + 2 x^{2} - 4 x + 4$ .	3
224	Multiply polynomial $5 x^{6} + 2 x^{5} - 4 x^{4} + 3 x^{3} + 6 x^{2} - x + 7 - 3 x^{3} + 2 x^{2} + 4 x - 2$ by $4 x^{3}$ .	3
225	Subtract polynomials: $s^{6} + 7 s^{5} + 2 s^{4} + 9 s^{3} + 10 s^{2} + 12 s + 15$ , $s^{6} + 9 s^{5} + 8 s^{4} + 9 s^{3} + 12 s^{2} + 15 s + 20$ .	3
226	Add $s^{6} + 7 s^{5} + 2 s^{4} + 9 s^{3} + 10 s^{2} + 12 s + 15$ and $s^{6} + 9 s^{5} + 8 s^{4} + 9 s^{3} + 12 s^{2} + 15 s + 20$ .	3
227	Add $- 6 - 1 + 6 - 2$ and $2 x + 5$ .	3
228	Multiply polynomial $x - 1$ by $x + 1$ .	3
229	Multiply polynomial $x^{2} - 1$ by $x^{2} - x - 12$ .	3
230	Multiply polynomial $x^{2} - 1$ by $x^{2} + 7 x - 6 x - 42$ .	3
231	Add $5 + 7 x$ and $2 x + 5$ .	3
232	Multiply polynomial $20 s^{4} + 380 s^{3} + 2480 s^{2} + 6480 s + 5760$ by $s^{5} + 32 s^{4} + 363 s^{3} + 2092 s^{2} + 5052 s + 4320$ .	3
233	Add $8 x^{2} - x + 4$ and $x - 5$ .	3
234	Subtract polynomials: $8 x^{2} - 3 x$ , $5 x - 5 - 8 x^{2}$ .	3
235	Subtract polynomials: $- x^{2} + x - 4$ , $3 x^{2} - 8 x - 2$ .	3
236	Subtract polynomials: $5 x^{3} + 3 x^{2} + 5$ , $7 x^{2} - 9 x^{2} + 8 x - 5$ .	3
237	Add $3 x^{4} - 5 x + 2$ and $4 x^{2} - 6 x - 2$ .	3
238	Multiply polynomial $a^{2} + 3$ by $a + 3$ .	3
239	Multiply polynomial $2 x^{3} + 2 x^{2} - 2$ by $- 2 x^{6} - 2 x^{5} + 2 x^{3} - 2 x^{2} - 2 x + 2$ .	3
240	Multiply polynomial $5 - x$ by $x + 6$ .	3
241	Multiply polynomial $- 2 x^{3} - 3 x^{2} - 15 x - 30$ by $x^{3} - 3 x - 3$ .	3
242	Multiply polynomial $2 x - 5$ by $2 x + 5$ .	3
243	Add $x^{2} + x - 2$ and $- 2 x^{2} - 9 x - 7$ .	3
244	Subtract polynomials: $8 x - 10$ , $x^{2} - 2 x$ .	3
245	Subtract polynomials: $x^{2} + 11 x + 28$ , $x + 4$ .	3
246	Multiply polynomial $x + 2$ by $x^{3} + x^{2} - 1$ .	3
247	Add $3 w - 1$ and $9 w^{2} - 3 w + 4$ .	3
248	Add $7 x^{2} + 3 x + 7$ and $6 x^{2} + 7 x$ .	3
249	Multiply polynomial $- 3 x - 2$ by $- 5 x^{2}$ .	3
250	Add $9 x - 5$ and $7 x^{2} + 9 x + 2$ .	3