Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
ID |
Problem |
Count |
601 | Multiply polynomial $ \, \color{blue}{ 2n+6 } \, $ by $ \, \color{orangered}{ -6n^2-5n+5 }$. | 1 |
602 | Multiply polynomial $ \, \color{blue}{ a-5 } \, $ by $ \, \color{orangered}{ a+5 }$. | 1 |
603 | Add $ \, \color{blue}{ 7x-3 } \, $ and $ \, \color{orangered}{ 8x-3x-6 }$. | 1 |
604 | Multiply polynomial $ \, \color{blue}{ t-2 } \, $ by $ \, \color{orangered}{ 2t+4 }$. | 1 |
605 | Add $ \, \color{blue}{ -3x+9 } \, $ and $ \, \color{orangered}{ 7x^2-2x+1 }$. | 1 |
606 | Multiply polynomial $ \, \color{blue}{ t-2 } \, $ by $ \, \color{orangered}{ t^2+4 }$. | 1 |
607 | Add $ \, \color{blue}{ b+4b^2-3 } \, $ and $ \, \color{orangered}{ 2b^2-2b^3+9 }$. | 1 |
608 | Multiply polynomial $ \, \color{blue}{ x^3+13x^2+60x+100 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
609 | Add $ \, \color{blue}{ 2x^3+3x^2-x+6 } \, $ and $ \, \color{orangered}{ 2x+1 }$. | 1 |
610 | Add $ \, \color{blue}{ 3x^2+x-4 } \, $ and $ \, \color{orangered}{ 4x^2-8 }$. | 1 |
611 | Multiply polynomial $ \, \color{blue}{ 5x-1 } \, $ by $ \, \color{orangered}{ x^2+4x+4 }$. | 1 |
612 | Add $ \, \color{blue}{ 8x-3x+8 } \, $ and $ \, \color{orangered}{ 6x-9x+4 }$. | 1 |
613 | Add $ \, \color{blue}{ 8r^2+9r+7 } \, $ and $ \, \color{orangered}{ 9r^2+7r+3 }$. | 1 |
614 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x^2+4x+16 }$. | 1 |
615 | Add $ \, \color{blue}{ 5x+14 } \, $ and $ \, \color{orangered}{ 2x }$. | 1 |
616 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ x^2-4x+16 }$. | 1 |
617 | Add $ \, \color{blue}{ 10x^2-1 } \, $ and $ \, \color{orangered}{ 5x^2-2x-5 }$. | 1 |
618 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ x^2+4x+16 }$. | 1 |
619 | Multiply polynomial $ \, \color{blue}{ 5v^3 } \, $ by $ \, \color{orangered}{ 6v-8 }$. | 1 |
620 | Add $ \, \color{blue}{ -x^2+2 } \, $ and $ \, \color{orangered}{ 3x^2-7x+8 }$. | 1 |
621 | Multiply polynomial $ \, \color{blue}{ x^2-3x-4 } \, $ by $ \, \color{orangered}{ 2x^2+5x+2 }$. | 1 |
622 | Multiply polynomial $ \, \color{blue}{ n^2+4+2n } \, $ by $ \, \color{orangered}{ -3n+2 }$. | 1 |
623 | Add $ \, \color{blue}{ x+3 } \, $ and $ \, \color{orangered}{ x+2 }$. | 1 |
624 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 1 |
625 | Multiply polynomial $ \, \color{blue}{ s^2+3 } \, $ by $ \, \color{orangered}{ s^2+4s-2 }$. | 1 |
626 | Subtract polynomials: $ \, \color{blue}{ 8x^3-10x^2+28x-16 } \, $ , $ \, \color{orangered}{ x-3 }$. | 1 |
627 | Add $ \, \color{blue}{ 5a-7a^2+1 } \, $ and $ \, \color{orangered}{ 3a^2-2a+3 }$. | 1 |
628 | Subtract polynomials: $ \, \color{blue}{ 4x^4-9x^3-7x^2-2x+25 } \, $ , $ \, \color{orangered}{ x+4 }$. | 1 |
629 | Multiply polynomial $ \, \color{blue}{ s^4+12s^3+41s^2+30s } \, $ by $ \, \color{orangered}{ s^5+41s^4+613s^3+3975s^2+9450s }$. | 1 |
630 | Multiply polynomial $ \, \color{blue}{ s^3+9s^2+26s+24 } \, $ by $ \, \color{orangered}{ 20s^4+380s^3+2480s^2+6480s+5760 }$. | 1 |
631 | Multiply polynomial $ \, \color{blue}{ -2x-4 } \, $ by $ \, \color{orangered}{ -x+7 }$. | 1 |
632 | Add $ \, \color{blue}{ -6x-2 } \, $ and $ \, \color{orangered}{ 6x^2-5x-10 }$. | 1 |
633 | Subtract polynomials: $ \, \color{blue}{ -x^5+12x^3+6x^2-23x+1 } \, $ , $ \, \color{orangered}{ x-2 }$. | 1 |
634 | Multiply polynomial $ \, \color{blue}{ 5x-7 } \, $ by $ \, \color{orangered}{ 4x-7 }$. | 1 |
635 | Subtract polynomials: $ \, \color{blue}{ -2x^3+3x^2-8x-12 } \, $ , $ \, \color{orangered}{ 2x+3 }$. | 1 |
636 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ -x^3+x^2 }$. | 1 |
637 | Add $ \, \color{blue}{ 3-x^2-2x^3 } \, $ and $ \, \color{orangered}{ 6+3x^3+7x^2 }$. | 1 |
638 | Multiply polynomial $ \, \color{blue}{ 3x+1 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 1 |
639 | Multiply polynomial $ \, \color{blue}{ 6x+5x-8 } \, $ by $ \, \color{orangered}{ 6x-9 }$. | 1 |
640 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ -4x^2-2x+7 }$. | 1 |
641 | Subtract polynomials: $ \, \color{blue}{ 5x+5 } \, $ , $ \, \color{orangered}{ -2x^2-2x-10 }$. | 1 |
642 | Add $ \, \color{blue}{ 6x+7 } \, $ and $ \, \color{orangered}{ 8x^2+5x-1 }$. | 1 |
643 | Subtract polynomials: $ \, \color{blue}{ -x^2-4x+1 } \, $ , $ \, \color{orangered}{ 2x^2+9 }$. | 1 |
644 | Multiply polynomial $ \, \color{blue}{ 10x^2+8x } \, $ by $ \, \color{orangered}{ -9x+3 }$. | 1 |
645 | Subtract polynomials: $ \, \color{blue}{ x^4+2x^3+8x^2 } \, $ , $ \, \color{orangered}{ 6x+x^4-5x^3 }$. | 1 |
646 | Multiply polynomial $ \, \color{blue}{ x^3+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
647 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
648 | Add $ \, \color{blue}{ 1 } \, $ and $ \, \color{orangered}{ 24 }$. | 1 |
649 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-4 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
650 | Subtract polynomials: $ \, \color{blue}{ 5x^3+5x^2+5 } \, $ , $ \, \color{orangered}{ 6x^3-5x^2+18x-5 }$. | 1 |