Operations on polynomials
(the database of solved problems)
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
ID |
Problem |
Count |
1 | Multiply polynomial 6x2+2x by −9x2−10x. | 410 |
2 | Add 2a+5 and 4a−3. | 221 |
3 | Add 5+7x3+3x2 and −12+5x+6x2. | 203 |
4 | Subtract polynomials: 3q4+3q3+7q2+q+9 , 3q4+q3+5q2+q+7. | 200 |
5 | Multiply polynomial y2+2y by y2+5y+8. | 198 |
6 | Multiply polynomial 5a+2 by 2a−3. | 193 |
7 | Multiply polynomial 2x−5 by x−5. | 184 |
8 | Add −3a3−4a2−9a and −8a3−9a+5. | 171 |
9 | Subtract polynomials: 2x2+x−3 , x2−3x+5. | 164 |
10 | Add 2x3−2x−3 and 2x+5. | 153 |
11 | Add 5p2−3 and 2p2−3p3. | 146 |
12 | Add x and 2x+5. | 141 |
13 | Subtract polynomials: 3a−4a , 6a−12a. | 120 |
14 | Subtract polynomials: 5x2−9x−10 , −6x2+6x. | 106 |
15 | Subtract polynomials: 4r2−4r−8 , 9r3−5r2−9r+7. | 106 |
16 | Add 10a and 4a−3. | 106 |
17 | Subtract polynomials: 2x3−3 , x2−15x. | 104 |
18 | Add −q+4 and 7q3−4q2+8q+5. | 104 |
19 | Add 3x2−x+1 and 15−9x−2x2. | 95 |
20 | Subtract polynomials: 7b2+6b−7 , 4b2−2. | 88 |
21 | Multiply polynomial 10a by 2a−3. | 84 |
22 | Add −4x2+4x and −6x2−8. | 63 |
23 | Multiply polynomial 6x2+3x+1 by −19x2−2. | 60 |
24 | Subtract polynomials: 5x2−9x−10 , −6x2+6x. | 59 |
25 | Multiply polynomial −4x2−5x−1 by 4x2−6x−2. | 56 |
26 | Subtract polynomials: 7f2−f , −4f+5. | 53 |
27 | Subtract polynomials: −12x+x−6 , 8x−6x−4. | 52 |
28 | Subtract polynomials: x2+8x , −3x2−3x−7. | 49 |
29 | Add 3x−4 and 5+3x−4x2. | 49 |
30 | Multiply polynomial 2x3−2x−3 by 2x+5. | 45 |
31 | Multiply polynomial 2x by 3x2−4x. | 43 |
32 | Multiply polynomial x2−x+3 by 2x2+4x−3. | 41 |
33 | Multiply polynomial 3x−2 by 5x+1. | 40 |
34 | Add −4x2−5x−1 and 4x2−6x−2. | 37 |
35 | Subtract polynomials: 8x3−10x2+30 , 4x3−7x2−6. | 37 |
36 | Subtract polynomials: −8n4+n3−n2−n−2 , −2n4+5n3−6n2. | 36 |
37 | Add 7x2+x+1 and 6x2−8x−10. | 35 |
38 | Add 7x3+4x2+3x+12 and 9x3−2x2+5x−8. | 33 |
39 | Multiply polynomial 4x−3 by x+6. | 33 |
40 | Subtract polynomials: 3u2 , −15u. | 31 |
41 | Multiply polynomial 10x2−4+3 by 7x2−3x+13. | 30 |
42 | Subtract polynomials: 10x2−4+3 , 7x2−3x+13. | 30 |
43 | Subtract polynomials: 3q2+5q , 6q2+8q+9. | 30 |
44 | Multiply polynomial 2x+3 by 5x−3. | 29 |
45 | Multiply polynomial 3x−2 by 3x+4. | 29 |
46 | Multiply polynomial 6c5−2c4−2 by −11c2−15. | 28 |
47 | Multiply polynomial 2y2 by 5y2−5y+2. | 28 |
48 | Subtract polynomials: 9q4+2q2−4 , q3+8q2−5. | 27 |
49 | Add 3x−4 and 5+3x−4x. | 27 |
50 | Add 6+7q3−3q4 and 9q4+2q2−4. | 27 |