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
101	Add $n^{2} + 6 n + 7$ and $n^{2} + 6 n + 9$ .	10
102	Add $- 8 n^{4} + n^{3} - n^{2} - n - 2$ and $- 2 n^{4} + 5 n^{3} - 6 n^{2}$ .	10
103	Add $4 x - 3$ and $x + 6$ .	10
104	Multiply polynomial $4 x^{2} + 6$ by $2 x^{2} - 2$ .	10
105	Subtract polynomials: $y^{2} + 2 y$ , $y^{2} + 5 y + 8$ .	10
106	Multiply polynomial $x$ by $2 x + 5$ .	10
107	Multiply polynomial $9 x$ by $2 x + 5$ .	10
108	Multiply polynomial $31 y - 140 y$ by $14 y - 64 y$ .	9
109	Multiply polynomial $x + 1$ by $x^{2} + 2 x - 5$ .	9
110	Subtract polynomials: $5 x$ , $2 x + 5$ .	9
111	Multiply polynomial $2 x$ by $2 x + 5$ .	9
112	Subtract polynomials: $- 2 x - 5$ , $- 9 x^{4} + 6 x^{3} - 3 x^{2} - 6 x + 4$ .	8
113	Subtract polynomials: $5 x + x^{4}$ , $3 x^{4} + 4 x$ .	8
114	Subtract polynomials: $6 x^{2} + 2 x$ , $- 9 x^{2} - 10 x$ .	8
115	Multiply polynomial $x^{2} - x + 3$ by $2 x^{2} + 4 x - 3$ .	8
116	Add $- 4 x$ and $2 x + 5$ .	8
117	Add $2 x$ and $2 x + 5$ .	8
118	Add $7 x$ and $2 x + 5$ .	8
119	Multiply polynomial $5 x + 9$ by $5 x + 11$ .	8
120	Multiply polynomial $6 x$ by $2 x + 5$ .	8
121	Add $2 x$ and $3 x^{2} - 4 x$ .	7
122	Add $x^{2} - 8$ and $- 4 x + 3 x^{2} - 10$ .	7
123	Multiply polynomial $x + 3$ by $x - 3$ .	7
124	Subtract polynomials: $x$ , $2 x + 5$ .	7
125	Multiply polynomial $x + 3$ by $2 x - 1$ .	7
126	Multiply polynomial $5 y - 1$ by $y - 7$ .	7
127	Add $9 x + 9$ and $- 9 x^{2} - 8 x + 6$ .	6
128	Subtract polynomials: $6 x^{2} - 9$ , $- 4 x^{2} + 7$ .	6
129	Subtract polynomials: $- 2 x + 5$ , $- x - 9$ .	6
130	Add $5$ and $2 x + 5$ .	6
131	Subtract polynomials: $11 x^{2} + 2 x - 10$ , $14 x^{2} - 7 x - 5$ .	6
132	Multiply polynomial $x^{3} - x^{2} + 3 x - 5$ by $x^{2} - x + 2$ .	6
133	Multiply polynomial $s^{6} + 7 s^{5} + 2 s^{4} + 9 s^{3} + 10 s^{2} + 12 s + 15$ by $s^{6} + 9 s^{5} + 8 s^{4} + 9 s^{3} + 12 s^{2} + 15 s + 20$ .	6
134	Add $9 x^{2} + 4 x - 7$ and $3 x^{2} + 6 x - 7$ .	6
135	Add $7$ and $3$ .	6
136	Add $2 x^{2} + 6 x + 12$ and $- 2 x^{3} + 7 x + 6$ .	6
137	Subtract polynomials: $2 x$ , $2 x + 5$ .	6
138	Add $4 x$ and $2 x + 5$ .	6
139	Add $8 x$ and $2 x + 5$ .	6
140	Subtract polynomials: $8 x$ , $2 x + 5$ .	6
141	Multiply polynomial $x + 3$ by $x - 4$ .	5
142	Multiply polynomial $5 x^{2} - 3$ by $x^{2} - 2$ .	5
143	Multiply polynomial $x - 2$ by $x + 2$ .	5
144	Multiply polynomial $3 x + 2$ by $3 x + 2$ .	5
145	Multiply polynomial $4 x + 3$ by $3 x + 3$ .	5
146	Subtract polynomials: $7 x^{2} - x + 4$ , $3 x^{2} - 4 x - 3$ .	5
147	Add $3 x + 4$ and $2 x - 6 - x$ .	5
148	Multiply polynomial $x - 5$ by $2 x^{2} - 3 x - 2$ .	5
149	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
150	Add $7 x$ and $2 x + 5$ .	5