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
51	Add $ \, \color{blue}{ 7x^2+x+1 } \, $ and $ \, \color{orangered}{ 6x^2-8x-10 }$.	40
52	Add $ \, \color{blue}{ -4x^2-5x-1 } \, $ and $ \, \color{orangered}{ 4x^2-6x-2 }$.	40
53	Add $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ and $ \, \color{orangered}{ -11c^2-15 }$.	39
54	Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 5x-3 }$.	39
55	Subtract polynomials: $ \, \color{blue}{ 18w+8w+5 } \, $ , $ \, \color{orangered}{ 2w+1 }$.	38
56	Multiply polynomial $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ by $ \, \color{orangered}{ -11c^2-15 }$.	36
57	Subtract polynomials: $ \, \color{blue}{ 2p^6-4 } \, $ , $ \, \color{orangered}{ 6p^5+8-p^7 }$.	36
58	Subtract polynomials: $ \, \color{blue}{ 5x+x } \, $ , $ \, \color{orangered}{ 3x+4x }$.	36
59	Add $ \, \color{blue}{ 7x^3+4x^2+3x+12 } \, $ and $ \, \color{orangered}{ 9x^3-2x^2+5x-8 }$.	35
60	Subtract polynomials: $ \, \color{blue}{ 3u^2 } \, $ , $ \, \color{orangered}{ -15u }$.	35
61	Multiply polynomial $ \, \color{blue}{ -x+3 } \, $ by $ \, \color{orangered}{ -x-5 }$.	34
62	Add $ \, \color{blue}{ 6+7q^3-3q^4 } \, $ and $ \, \color{orangered}{ 9q^4+2q^2-4 }$.	33
63	Add $ \, \color{blue}{ 31y-140y } \, $ and $ \, \color{orangered}{ 14y-64y }$.	33
64	Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 2x+5 }$.	32
65	Subtract polynomials: $ \, \color{blue}{ 7y+1 } \, $ , $ \, \color{orangered}{ 3y+1 }$.	32
66	Multiply polynomial $ \, \color{blue}{ 10y+50 } \, $ by $ \, \color{orangered}{ y+6 }$.	32
67	Subtract polynomials: $ \, \color{blue}{ x^2+4x } \, $ , $ \, \color{orangered}{ 2x^2-5x+3 }$.	31
68	Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ 6x^2-5 }$.	31
69	Add $ \, \color{blue}{ 5 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	30
70	Multiply polynomial $ \, \color{blue}{ -6+7i } \, $ by $ \, \color{orangered}{ 4+2i }$.	29
71	Add $ \, \color{blue}{ 7m+1 } \, $ and $ \, \color{orangered}{ 9m+6 }$.	28
72	Add $ \, \color{blue}{ 7+8i } \, $ and $ \, \color{orangered}{ 2+6i }$.	28
73	Add $ \, \color{blue}{ 4x-3 } \, $ and $ \, \color{orangered}{ x+6 }$.	27
74	Subtract polynomials: $ \, \color{blue}{ 81w+8w+5 } \, $ , $ \, \color{orangered}{ 2w+1 }$.	27
75	Multiply polynomial $ \, \color{blue}{ 9026 } \, $ by $ \, \color{orangered}{ -9005 }$.	27
76	Multiply polynomial $ \, \color{blue}{ 9x } \, $ by $ \, \color{orangered}{ 2x+5 }$.	26
77	Add $ \, \color{blue}{ 10x^2+4x-22 } \, $ and $ \, \color{orangered}{ 7x^2-5x+18 }$.	26
78	Add $ \, \color{blue}{ 4r^2-4r-8 } \, $ and $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$.	26
79	Add $ \, \color{blue}{ 8x } \, $ and $ \, \color{orangered}{ 2x+5 }$.	26
80	Subtract polynomials: $ \, \color{blue}{ 2p^5-5p-4 } \, $ , $ \, \color{orangered}{ 6p^5+8-p }$.	26
81	Subtract polynomials: $ \, \color{blue}{ 4x^2-6 } \, $ , $ \, \color{orangered}{ x^2+1 }$.	26
82	Subtract polynomials: $ \, \color{blue}{ -2v^2-8v-7 } \, $ , $ \, \color{orangered}{ -4v+8 }$.	23
83	Add $ \, \color{blue}{ -8x^2+3 } \, $ and $ \, \color{orangered}{ x^2+3x-8 }$.	23
84	Multiply polynomial $ \, \color{blue}{ 2u^2+5 } \, $ by $ \, \color{orangered}{ 5u-2u^2+2 }$.	23
85	Add $ \, \color{blue}{ 21y-140y } \, $ and $ \, \color{orangered}{ 14y-64y }$.	23
86	Multiply polynomial $ \, \color{blue}{ 1+4i } \, $ by $ \, \color{orangered}{ 1-4i }$.	22
87	Multiply polynomial $ \, \color{blue}{ 5k^3+3k^2-2k } \, $ by $ \, \color{orangered}{ -8k^3-20k }$.	22
88	Subtract polynomials: $ \, \color{blue}{ 5x } \, $ , $ \, \color{orangered}{ 2x+5 }$.	22
89	Add $ \, \color{blue}{ 8x^2-15x-19 } \, $ and $ \, \color{orangered}{ 7-7x+2x^2 }$.	22
90	Multiply polynomial $ \, \color{blue}{ 4-5m } \, $ by $ \, \color{orangered}{ 4-5m }$.	22
91	Multiply polynomial $ \, \color{blue}{ 2y^2-2 } \, $ by $ \, \color{orangered}{ 5y^2-5y+2 }$.	22
92	Subtract polynomials: $ \, \color{blue}{ -2x-5 } \, $ , $ \, \color{orangered}{ -9x^4+6x^3-3x^2-6x+4 }$.	21
93	Add $ \, \color{blue}{ x^2-4x-10 } \, $ and $ \, \color{orangered}{ x^2-9x+3 }$.	21
94	Add $ \, \color{blue}{ 10x^2-4+3 } \, $ and $ \, \color{orangered}{ 7x^2-3x+13 }$.	21
95	Add $ \, \color{blue}{ 3x } \, $ and $ \, \color{orangered}{ 2x+5 }$.	21
96	Multiply polynomial $ \, \color{blue}{ 5+3x+2x^2+x^3 } \, $ by $ \, \color{orangered}{ 3+7x+4x^2+7x^3 }$.	21
97	Multiply polynomial $ \, \color{blue}{ 5+3x+2x } \, $ by $ \, \color{orangered}{ 2x+5 }$.	21
98	Multiply polynomial $ \, \color{blue}{ 31y-140y } \, $ by $ \, \color{orangered}{ 14y-64y }$.	21
99	Subtract polynomials: $ \, \color{blue}{ 7x^4-5x^3+8x^2+9x-13 } \, $ , $ \, \color{orangered}{ 2x^4+6x^3-4x^2-x+4 }$.	20
100	Subtract polynomials: $ \, \color{blue}{ x } \, $ , $ \, \color{orangered}{ 2x+5 }$.	20