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 |
| 651 | Multiply polynomial $ \, \color{blue}{ 5x^2+x-7 } \, $ by $ \, \color{orangered}{ x+5 }$. | 2 |
| 652 | Multiply polynomial $ \, \color{blue}{ 4x^2+2x+7 } \, $ by $ \, \color{orangered}{ -x-2 }$. | 2 |
| 653 | Subtract polynomials: $ \, \color{blue}{ 5x^2-4x+2 } \, $ , $ \, \color{orangered}{ 11x^2+5x-2 }$. | 2 |
| 654 | Add $ \, \color{blue}{ 6y^2+y-5 } \, $ and $ \, \color{orangered}{ 9y^2-y-8 }$. | 2 |
| 655 | Add $ \, \color{blue}{ 5x^2-x+5 } \, $ and $ \, \color{orangered}{ 4x^2+9x-7 }$. | 2 |
| 656 | Add $ \, \color{blue}{ -4x+x-12 } \, $ and $ \, \color{orangered}{ 2x^3+3x^2-4 }$. | 2 |
| 657 | Subtract polynomials: $ \, \color{blue}{ d+6d^3+4d^2 } \, $ , $ \, \color{orangered}{ 12-4d+5d^2 }$. | 2 |
| 658 | Subtract polynomials: $ \, \color{blue}{ -d+6d^3+4d^2 } \, $ , $ \, \color{orangered}{ 12-4d+5d^2 }$. | 2 |
| 659 | Subtract polynomials: $ \, \color{blue}{ 3y^3+5y+8 } \, $ , $ \, \color{orangered}{ y^3-4y^2+3y }$. | 2 |
| 660 | Subtract polynomials: $ \, \color{blue}{ 2x^3+8x^4+8x } \, $ , $ \, \color{orangered}{ x^4-4x^3+3x }$. | 2 |
| 661 | Subtract polynomials: $ \, \color{blue}{ 11x^3-3x^2 } \, $ , $ \, \color{orangered}{ 4x^3-x^2+8x }$. | 2 |
| 662 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x^2-4x+2 }$. | 2 |
| 663 | Multiply polynomial $ \, \color{blue}{ 15x^3 } \, $ by $ \, \color{orangered}{ 4x^3 }$. | 2 |
| 664 | Multiply polynomial $ \, \color{blue}{ -4+3r } \, $ by $ \, \color{orangered}{ 7r-2 }$. | 2 |
| 665 | Subtract polynomials: $ \, \color{blue}{ b^2+8b-9 } \, $ , $ \, \color{orangered}{ 11b^2-4b+7 }$. | 2 |
| 666 | Multiply polynomial $ \, \color{blue}{ x^6+x^4+3x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 667 | Multiply polynomial $ \, \color{blue}{ 4v-1 } \, $ by $ \, \color{orangered}{ v+3 }$. | 2 |
| 668 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x^2-4x+16 }$. | 2 |
| 669 | Multiply polynomial $ \, \color{blue}{ 11x^2-14x+3 } \, $ by $ \, \color{orangered}{ 9x-2 }$. | 2 |
| 670 | Multiply polynomial $ \, \color{blue}{ 5x^2-x-5 } \, $ by $ \, \color{orangered}{ 5x-3 }$. | 2 |
| 671 | Subtract polynomials: $ \, \color{blue}{ 2x^4-4-x } \, $ , $ \, \color{orangered}{ 2x^4-x+4 }$. | 2 |
| 672 | Multiply polynomial $ \, \color{blue}{ -x^2-4x+1 } \, $ by $ \, \color{orangered}{ 2x^2-9 }$. | 2 |
| 673 | Multiply polynomial $ \, \color{blue}{ 3x^3 } \, $ by $ \, \color{orangered}{ 3x^2 }$. | 2 |
| 674 | Subtract polynomials: $ \, \color{blue}{ 3x^2-x+10 } \, $ , $ \, \color{orangered}{ -2x+9x^2-1 }$. | 2 |
| 675 | Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ x-3 }$. | 2 |
| 676 | Multiply polynomial $ \, \color{blue}{ x^3-4x-2 } \, $ by $ \, \color{orangered}{ x^2-6 }$. | 2 |
| 677 | Multiply polynomial $ \, \color{blue}{ 10x+3 } \, $ by $ \, \color{orangered}{ x^2-1 }$. | 2 |
| 678 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 679 | Multiply polynomial $ \, \color{blue}{ 2x^2+10 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 680 | Multiply polynomial $ \, \color{blue}{ 3x^2-3x-9 } \, $ by $ \, \color{orangered}{ -9x }$. | 2 |
| 681 | Add $ \, \color{blue}{ x-6 } \, $ and $ \, \color{orangered}{ x-6 }$. | 2 |
| 682 | Add $ \, \color{blue}{ 2x^2 } \, $ and $ \, \color{orangered}{ 2x^2 }$. | 2 |
| 683 | Add $ \, \color{blue}{ 4x^2 } \, $ and $ \, \color{orangered}{ 2x-12 }$. | 2 |
| 684 | Add $ \, \color{blue}{ 45 } \, $ and $ \, \color{orangered}{ 56 }$. | 2 |
| 685 | Multiply polynomial $ \, \color{blue}{ x^3-12x^2+20x+90 } \, $ by $ \, \color{orangered}{ x-6 }$. | 2 |
| 686 | Add $ \, \color{blue}{ 5x^2+2x-4 } \, $ and $ \, \color{orangered}{ x^2-3x+4 }$. | 2 |
| 687 | Subtract polynomials: $ \, \color{blue}{ x^2+6x-10 } \, $ , $ \, \color{orangered}{ -8x^2-3x }$. | 2 |
| 688 | Subtract polynomials: $ \, \color{blue}{ -5x^2+7x+2 } \, $ , $ \, \color{orangered}{ -5x^2-7x+2 }$. | 2 |
| 689 | Multiply polynomial $ \, \color{blue}{ -7x^2-8x-1 } \, $ by $ \, \color{orangered}{ -x^2-5x+1 }$. | 2 |
| 690 | Multiply polynomial $ \, \color{blue}{ -7x^2-3x+5 } \, $ by $ \, \color{orangered}{ 7x^2-6x+7 }$. | 2 |
| 691 | Add $ \, \color{blue}{ x-x^4-3x^3 } \, $ and $ \, \color{orangered}{ -6x^3-7x^2-x }$. | 2 |
| 692 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+6x^2+25x+44 }$. | 2 |
| 693 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+6x^2-25x-6 }$. | 2 |
| 694 | Multiply polynomial $ \, \color{blue}{ 96x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 695 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ 3x^2+4x-8 }$. | 2 |
| 696 | Subtract polynomials: $ \, \color{blue}{ 2x^2+7 } \, $ , $ \, \color{orangered}{ x^2+2x+7 }$. | 2 |
| 697 | Multiply polynomial $ \, \color{blue}{ -2 } \, $ by $ \, \color{orangered}{ 6v-3v-3 }$. | 2 |
| 698 | Multiply polynomial $ \, \color{blue}{ -2 } \, $ by $ \, \color{orangered}{ 3v^2-3v-3 }$. | 2 |
| 699 | Subtract polynomials: $ \, \color{blue}{ -4r^2+2 } \, $ , $ \, \color{orangered}{ 2r^2+5r }$. | 2 |
| 700 | Multiply polynomial $ \, \color{blue}{ -2w^2 } \, $ by $ \, \color{orangered}{ w^2-4w-2 }$. | 2 |