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
151	Subtract polynomials: $10$ , $2$ .	5
152	Subtract polynomials: $7 x^{2} - x + 4$ , $3 x^{2} - 4 x - 3$ .	5
153	Subtract polynomials: $4 n - 3 n^{3}$ , $3 n^{3} + 4 n$ .	5
154	Multiply polynomial $x + 3$ by $x - 4$ .	5
155	Subtract polynomials: $s^{6} + 7 s^{5} + 2 s^{4} + 9 s^{3} + 10 s^{2} + 12 s + 15$ , $s^{6} + 9 s^{5} + 8 s^{4} + 9 s^{3} + 12 s^{2} + 15 s + 20$ .	5
156	Add $4 x^{2} - 8 x - 7$ and $12 x^{2} + 14 x - 9$ .	5
157	Add $3 x^{2} + 3 x - 5$ and $8 x^{2} + 7 x - 5$ .	5
158	Subtract polynomials: $5 x^{2} - 8 x + 5$ , $9 x^{2} + 8 x - 7$ .	5
159	Subtract polynomials: $x^{2} - 6 x - 4$ , $3 x^{2} - 4 x - 1$ .	5
160	Subtract polynomials: $x^{2} - 9 x$ , $9 x^{2} - 8 x$ .	5
161	Subtract polynomials: $x^{2} - 6 x - 6$ , $3 x^{2} + 4 x + 2$ .	5
162	Subtract polynomials: $3 x^{2} - 9 x - 3$ , $3 x^{3} - 4 x^{2} + 6 x - 5$ .	5
163	Add $- 9 x + 18 x + 10 x - 30$ and $x - 3$ .	5
164	Add $5 x + 3$ and $- 19 x + 2$ .	5
165	Add $3 x^{2} + 7 x - 5$ and $5 x^{2} - 4 x + 11$ .	4
166	Subtract polynomials: $2 x^{2} - 3 x$ , $- 3 x^{2} + 5 x - 30$ .	4
167	Subtract polynomials: $4 x + 3 x^{2} - 1$ , $- 7 x + 2 + 6 x^{2}$ .	4
168	Subtract polynomials: $9 x^{3} + 5 x^{2} - x - 9$ , $x^{2} - 9 x + 4$ .	4
169	Subtract polynomials: $x - 7$ , $7 x + 5$ .	4
170	Subtract polynomials: $6 x^{3} - 3 x^{4} - 2$ , $7 x^{4} + 2 x^{3} - 7 x^{2}$ .	4
171	Multiply polynomial $4 x^{2} + 3 x + 4$ by $3 x^{2} - 4 x - 3$ .	4
172	Multiply polynomial $x + 4$ by $x + 1$ .	4
173	Multiply polynomial $4 x^{2} + 3 x$ by $7 x^{2} - 2 x$ .	4
174	Multiply polynomial $x + 7$ by $3 x + 5$ .	4
175	Multiply polynomial $5 x + 6$ by $2 x - 1$ .	4
176	Multiply polynomial $8 x - 3$ by $3 x - 2$ .	4
177	Multiply polynomial $5 x - 3$ by $5 x + 11$ .	4
178	Multiply polynomial $6 x + 1$ by $3 x + 10$ .	4
179	Multiply polynomial $x + 4$ by $x - 1$ .	4
180	Multiply polynomial $x - 5$ by $2 x - 5$ .	4
181	Multiply polynomial $x^{2} - 4 x + 5$ by $x^{3} - 7 x^{2} + 8$ .	4
182	Multiply polynomial $x^{2} - x - 2$ by $x^{2} + x - 6$ .	4
183	Subtract polynomials: $6 x - 5 x^{4}$ , $4 x^{4} + 6 x^{3} + 3 x$ .	4
184	Add $3 x^{2} - 2 x + 1$ and $- x^{2} + 3 x + 1$ .	4
185	Add $x^{2}$ and $1$ .	4
186	Multiply polynomial $x + 4$ by $x^{2} - 4 x + 16$ .	4
187	Add $20 s^{9} + 1020 s^{8} + 21900 s^{7} + 265620 s^{6} + 2009360 s^{5} + 9730880 s^{4} + s^{3} + s^{2} + s + 24883200$ and $s^{9} + 58 s^{8} + 1409 s^{7} + 18678 s^{6} + 146995 s^{5} + 696614 s^{4} + 1907795 s^{3} + 2663850 s^{2} + 1323000 s$ .	4
188	Multiply polynomial $20 s^{4} + 380 s^{3} + 2480 s^{2} + 6480 s + 5760$ by $s^{4} + 17 s^{3} + 99 s^{2} + 223 s + 140$ .	4
189	Multiply polynomial $s^{6} + 7 s^{5} + 2 s^{4} + 9 s^{3} + 10 s^{2} + 12 s + 15$ by $s^{6} + 9 s^{5} + 8 s^{4} + 9 s^{3} + 12 s^{2} + 15 s + 20$ .	4
190	Subtract polynomials: $- 10 x^{3} + 5 x^{3} + 6$ , $4 x^{3} + 2 x$ .	4
191	Multiply polynomial $s^{4} + 26 s^{3} + 223 s^{2} + 630 s$ by $s^{4} + 7 s^{3} + 22 s^{2} + 30 s$ .	4
192	Add $x^{3} - x^{2} - 2 x - 12$ and $2 x + 5$ .	4
193	Multiply polynomial $x^{2} + 2 x + 1$ by $x^{2} - 2 x + 1$ .	4
194	Subtract polynomials: $3 x^{5} + 7 x^{2} - 4 x + 8$ , $4 x^{4} + 8 x^{2} - 3 x + 7$ .	4
195	Subtract polynomials: $10 x$ , $2 x + 5$ .	4
196	Multiply polynomial $6 x$ by $2 x + 5$ .	4
197	Add $7 x + 3$ and $- x^{2} - 5 x + 8$ .	4
198	Subtract polynomials: $5 x + x$ , $2 x + 5$ .	4
199	Multiply polynomial $- 4 x$ by $2 x + 5$ .	4
200	Subtract polynomials: $3 x^{3} + 3 x^{2} + 9$ , $5 x^{3} - 7 x^{2} + 6 x - 9$ .	4