Operations on polynomials – Solved Problems Database

All the problems and solutions shown below were generated using the Polynomial Operations Calculator.

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ID	Problem	Count
351	Add $ \, \color{blue}{ 3m^5+1 } \, $ and $ \, \color{orangered}{ 9m^5+3m-2 }$.	2
352	Subtract polynomials: $ \, \color{blue}{ 13x^2-6x^5-2x } \, $ , $ \, \color{orangered}{ -10x^2-11x^5+9x }$.	2
353	Add $ \, \color{blue}{ 6+4x^2-11x } \, $ and $ \, \color{orangered}{ 6x^2-9-7x }$.	2
354	Multiply polynomial $ \, \color{blue}{ 2x^3+3x^2 } \, $ by $ \, \color{orangered}{ 4x^4-5x^3-6x^2 }$.	2
355	Add $ \, \color{blue}{ 4x^2+x+5 } \, $ and $ \, \color{orangered}{ 7x^2-3x-3 }$.	2
356	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
357	Subtract polynomials: $ \, \color{blue}{ -c^2 } \, $ , $ \, \color{orangered}{ 5c^3 }$.	2
358	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+20s+20 }$.	2
359	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
360	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
361	Multiply polynomial $ \, \color{blue}{ y+3 } \, $ by $ \, \color{orangered}{ y+5 }$.	2
362	Multiply polynomial $ \, \color{blue}{ w-1 } \, $ by $ \, \color{orangered}{ 4w-4 }$.	2
363	Subtract polynomials: $ \, \color{blue}{ -3t^2+2t+2 } \, $ , $ \, \color{orangered}{ -2t^2-7t-1 }$.	2
364	Subtract polynomials: $ \, \color{blue}{ 2z^{13}+11z^{10}+7z^7+9z^5 } \, $ , $ \, \color{orangered}{ 7z^{14}-7z^{10}+7z^7+4z^5 }$.	2
365	Multiply polynomial $ \, \color{blue}{ 4t+1 } \, $ by $ \, \color{orangered}{ 2t-1 }$.	2
366	Multiply polynomial $ \, \color{blue}{ 4q-4 } \, $ by $ \, \color{orangered}{ 4q+4 }$.	2
367	Multiply polynomial $ \, \color{blue}{ 4c+1 } \, $ by $ \, \color{orangered}{ -4c^2+3c-1 }$.	2
368	Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
369	Multiply polynomial $ \, \color{blue}{ x-9 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
370	Multiply polynomial $ \, \color{blue}{ -2g^3+11g^2-10g-14 } \, $ by $ \, \color{orangered}{ g-2 }$.	2
371	Subtract polynomials: $ \, \color{blue}{ -5x^2-7x+2 } \, $ , $ \, \color{orangered}{ -5x^2+7x+2 }$.	2
372	Add $ \, \color{blue}{ 5 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
373	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
374	Multiply polynomial $ \, \color{blue}{ 4r-5 } \, $ by $ \, \color{orangered}{ 3r^2+9r+4 }$.	2
375	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
376	Add $ \, \color{blue}{ 5p+3 } \, $ and $ \, \color{orangered}{ 8p+7 }$.	2
377	Multiply polynomial $ \, \color{blue}{ 2d } \, $ by $ \, \color{orangered}{ d^5-7d^3+4 }$.	2
378	Multiply polynomial $ \, \color{blue}{ x^2-3x+2 } \, $ by $ \, \color{orangered}{ x-4 }$.	2
379	Subtract polynomials: $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ , $ \, \color{orangered}{ s^9+58s^8+1409s^7+18678s^6+146995s^5+696614s^4+1907795s^3+2663850s^2+1323000s }$.	2
380	Multiply polynomial $ \, \color{blue}{ 5x^2+x+1 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
381	Add $ \, \color{blue}{ 20s^7+360s^6+2700s^5+11200s^4+27480s^3+37440s^2+21600s } \, $ and $ \, \color{orangered}{ s^7+36s^6+512s^5+3634s^4+13287s^3+22730s^2+12600s }$.	2
382	Multiply polynomial $ \, \color{blue}{ -5 } \, $ by $ \, \color{orangered}{ 4m^2-5m-8 }$.	2
383	Subtract polynomials: $ \, \color{blue}{ 6x+8x-5x-3 } \, $ , $ \, \color{orangered}{ -3x+10x-4 }$.	2
384	Multiply polynomial $ \, \color{blue}{ x^2-5 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
385	Subtract polynomials: $ \, \color{blue}{ 2x^3+4x^2-5x-3 } \, $ , $ \, \color{orangered}{ -x^3+5x^2-4 }$.	2
386	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
387	Multiply polynomial $ \, \color{blue}{ 7x+3 } \, $ by $ \, \color{orangered}{ 5x-6 }$.	2
388	Subtract polynomials: $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ , $ \, \color{orangered}{ -s^9-58s^8-1409s^7-18678s^6-146995s^5-696614s^4-1907795s^3-2663850s^2-1323000s }$.	2
389	Multiply polynomial $ \, \color{blue}{ s^3+10s^2+29s+20 } \, $ by $ \, \color{orangered}{ s^4+26s^3+223s^2+630s }$.	2
390	Multiply polynomial $ \, \color{blue}{ x^2-6x+13 } \, $ by $ \, \color{orangered}{ x^2-8x+15 }$.	2
391	Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
392	Subtract polynomials: $ \, \color{blue}{ 8x^3+2x^2 } \, $ , $ \, \color{orangered}{ 14x^3-10x^2+9 }$.	2
393	Subtract polynomials: $ \, \color{blue}{ 20s^7+360s^6+2700s^5+11200s^4+27480s^3+37440s^2+21600s } \, $ , $ \, \color{orangered}{ s^7+36s^6+512s^5+3634s^4+13287s^3+22730s^2+12600s }$.	2
394	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
395	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
396	Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$.	2
397	Multiply polynomial $ \, \color{blue}{ 8x+2 } \, $ by $ \, \color{orangered}{ 7x+6 }$.	2
398	Multiply polynomial $ \, \color{blue}{ -b+3 } \, $ by $ \, \color{orangered}{ -2b+5 }$.	2
399	Multiply polynomial $ \, \color{blue}{ 8x-6 } \, $ by $ \, \color{orangered}{ 3x-2 }$.	2
400	Subtract polynomials: $ \, \color{blue}{ 3x^5+7x^2-4x+8 } \, $ , $ \, \color{orangered}{ 4x^4+16x-3x+7 }$.	2