Factoring Polynomials

(the database of solved problems)

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

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ID	Problem	Count
1	Factor polynomial $$ 3ab^{3}-6a^{2}b $$	165
2	Factor polynomial $$ x^{2}+5x+4 $$	97
3	Factor polynomial $$ 4x^{2}-y^{2} $$	89
4	Factor polynomial $$ 2a-4b+a^{2}-2ab $$	83
5	Factor polynomial $$ 9a^{2}b^{4}-4c^{2} $$	81
6	Factor polynomial $$ 2x^{2}+3x-5 $$	65
7	Factor polynomial $$ a^{2}b+a^{2}c-5b-5c $$	58
8	Factor polynomial $$ x^{2}-10x+25 $$	56
9	Factor polynomial $$ 2a-4a^{2}b-2ab $$	52
10	Factor polynomial $$ x^{2}+20x+100 $$	48
11	Factor polynomial $$ -x^{3}+48x^{2}-684x+2592 $$	47
12	Factor polynomial $$ x^{4}-81 $$	46
13	Factor polynomial $$ x^{2}-16 $$	44
14	Factor polynomial $$ x^{8}+11x^{7}-18x^{6}-472x^{5}-320x^{4}+6576x^{3}+7776x^{2}-27648x-41472 $$	43
15	Factor polynomial $$ x^{3}+5x^{2}-x-5 $$	42
16	Factor polynomial $$ 4x^{3}-21x^{2}+29x-6 $$	42
17	Factor polynomial $$ 5a^{2}b^{7}c^{3} $$	41
18	Factor polynomial $$ 8x^{5}-32x^{3} $$	34
19	Factor polynomial $$ 8x^{3}-27 $$	33
20	Factor polynomial $$ x^{2}-1 $$	32
21	Factor polynomial $$ x^{2}+3x+2 $$	31
22	Factor polynomial $$ b^{2}-25 $$	31
23	Factor polynomial $$ x^{2}-5x+6 $$	31
24	Factor polynomial $$ x^{2}+4x+4 $$	31
25	Factor polynomial $$ 4x^{4}-100y^{4} $$	30
26	Factor polynomial $$ x^{6}-3x^{5}-6x^{4}+10x^{3}+21x^{2}+9x $$	29
27	Factor polynomial $$ x^{3}+2x^{2}-5x-6 $$	29
28	Factor polynomial $$ 5ab+2b+5ac+2c $$	28
29	Factor polynomial $$ 70x^{4}+80x^{2} $$	28
30	Factor polynomial $$ 49p^{3}q-25pq^{3} $$	28
31	Factor polynomial $$ x^{2}-9 $$	27
32	Factor polynomial $$ 9m^{2}-25n^{2} $$	27
33	Factor polynomial $$ 4x^{2}-19x-5 $$	27
34	Factor polynomial $$ x^{3}-2x^{2}-5x+6 $$	26
35	Factor polynomial $$ x^{2}-3x-28 $$	26
36	Factor polynomial $$ 10ab+15b-2a-3 $$	26
37	Factor polynomial $$ 121a^{2}-66ab+9b^{2} $$	26
38	Factor polynomial $$ x^{3}+x^{2}-4x-4 $$	26
39	Factor polynomial $$ 28x^{2}y^{3}z^{3}+24x^{3}y^{4} $$	25
40	Factor polynomial $$ 5k^{2}+3k+4 $$	24
41	Factor polynomial $$ 3w+10 $$	24
42	Factor polynomial $$ 24xy $$	23
43	Factor polynomial $$ 3x^{2}-27 $$	23
44	Factor polynomial $$ x^{2}-3 $$	23
45	Factor polynomial $$ x^{3}+6x^{2}+11x+6 $$	23
46	Factor polynomial $$ x^{4}-14x^{3}+19x^{2}+354x-1080 $$	23
47	Factor polynomial $$ x^{3}+6x^{2}+51x+86 $$	23
48	Factor polynomial $$ x^{3}-x^{2}-4x+4 $$	22
49	Factor polynomial $$ -30x^{2}-9x $$	22
50	Factor polynomial $$ x^{2}-4 $$	22