Operations on polynomials

(the database of solved problems)

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

Select category

ID	Problem	Count
301	Add $3 x^{2} - 6 x + 9$ and $x^{2} + 3 x + 1$ .	3
302	Add $4 x^{2} - 6 x + 4$ and $- 7 x^{2} + 4 x - 2$ .	3
303	Subtract polynomials: $x^{2} - 6 x - 8$ , $4 x^{2} - 3 x - 4$ .	3
304	Add $2 x^{2}$ and $x - 6$ .	3
305	Multiply polynomial $s^{5} + 41 s^{4} + 613 s^{3} + 3705 s^{2} + 9450 s$ by $s^{5} + 32 s^{4} + 363 s^{3} + 2092 s^{2} + 5052 s + 4320$ .	2
306	Add $20 s^{9} + 1020 s^{8} + 21900 s^{7} + 265620 s^{6} + 2009360 s^{5} + 9730880 s^{4} + s^{3} + s^{2} + 248832000$ and $s^{9} + 58 s^{8} + 1409 s^{7} + 18408 s^{6} + 142405 s^{5} + 669884 s^{4} + 1847585 s^{3} + 2626050 s^{2} + 1323000 s$ .	2
307	Add $x + 5$ and $x - 2$ .	2
308	Multiply polynomial $x + 5$ by $x - 2$ .	2
309	Multiply polynomial $3 x^{2} + x - 4$ by $x - 2$ .	2
310	Add $7 x + 12$ and $5 x^{2} - 3 x + 4$ .	2
311	Subtract polynomials: $9 x^{2} - 4$ , $10 x^{2} + 9 x - 8$ .	2
312	Subtract polynomials: $7 x^{2} - x - 1$ , $x^{2} + 3 x + 3$ .	2
313	Subtract polynomials: $9 x + 5$ , $3 x - 3$ .	2
314	Add $3 f$ and $3 f$ .	2
315	Add $x^{3} + 3 x^{2} - 18$ and $2 x + 5$ .	2
316	Add $4 x^{2} - 5 x + 3$ and $- 5 x^{2} - 9 x - 5$ .	2
317	Multiply polynomial $- 4 x + 5$ by $3 x^{2} - 2 x - 1$ .	2
318	Subtract polynomials: $6 x^{5} + 5 x^{3} + 11 x - 11$ , $- 8 x^{4} - 10 x^{3} + 12 x - 4$ .	2
319	Subtract polynomials: $2 x^{2} + 1$ , $x^{2} - 2 x + 1$ .	2
320	Subtract polynomials: $3 - 6 x^{5} - 8 x^{4}$ , $- 6 x^{4} - 3 x - 8 x^{5}$ .	2
321	Multiply polynomial $5 x + 7 + x^{2} + 6$ by $- 3$ .	2
322	Add $2 x + 1$ and $2 x + 5$ .	2
323	Add $5 x^{2} - 3$ and $2 x^{2} - 3 x^{3}$ .	2
324	Multiply polynomial $- 7 h^{2}$ by $- 2 h^{3}$ .	2
325	Subtract polynomials: $3 g^{2} + 8 g + 1$ , $g^{2} + g + 1$ .	2
326	Add $3 q + 1$ and $3 q + 6$ .	2
327	Subtract polynomials: $7 k^{2} + 6 k + 3$ , $4 k^{2}$ .	2
328	Subtract polynomials: $8 z + 7$ , $3 z + 1$ .	2
329	Add $7 g + 8$ and $4 g^{2} + 2 g + 6$ .	2
330	Add $4 a^{2} + 2 a + 2$ and $3 a^{2} + a + 3$ .	2
331	Subtract polynomials: $8 x + 2$ , $4 x + 2$ .	2
332	Add $7 u^{2} + 5 u + 7$ and $3 u + 6$ .	2
333	Add $- 2 m^{2} - 3 m - 8$ and $7 m^{2} + 4 m - 8$ .	2
334	Subtract polynomials: $9 p^{2} - 6$ , $- p + 6$ .	2
335	Multiply polynomial $6 x^{2} - 6 x - 5$ by $7 x^{2} + 6 x - 5$ .	2
336	Multiply polynomial $7 x + 5$ by $11 x - 3$ .	2
337	Add $x^{2} + 8 x + 3$ and $- 7 x^{2} + 2 x + 5$ .	2
338	Subtract polynomials: $x^{2} + 4 x + 3$ , $x^{2} - 2 x - 4$ .	2
339	Multiply polynomial $7 x$ by $x^{2} + 6 x - 5$ .	2
340	Subtract polynomials: $- 2 a^{2} + a + 6$ , $- 3 a^{2} + 2 a - 5$ .	2
341	Subtract polynomials: $7 x^{2} - 9 x + 3$ , $12 x^{2} + 3 x - 8$ .	2
342	Multiply polynomial $50 x^{3} + 40 x^{2} + 8 x$ by $9 x^{2} - 24 x + 16$ .	2
343	Multiply polynomial $5 x - 9$ by $5 x + 9$ .	2
344	Multiply polynomial $- 2 x + 7$ by $2 x + 2 x - 4$ .	2
345	Add $5 x^{2} - 3$ and $2 x^{2} - 3 x^{3}$ .	2
346	Multiply polynomial $x - 9$ by $x - 6$ .	2
347	Multiply polynomial $x^{2} - 9$ by $x - 6$ .	2
348	Add $4 x^{2} - 11 x + 10$ and $5 x - 31$ .	2
349	Subtract polynomials: $2 x + 1$ , $3 x + 1$ .	2
350	Add $- x$ and $x + 4$ .	2