Operations on polynomials

(the database of solved problems)

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

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ID	Problem	Count
401	Subtract polynomials: $ \, \color{blue}{ 8x-10 } \, $ , $ \, \color{orangered}{ x^2-2x }$.	3
402	Add $ \, \color{blue}{ x^2+x-2 } \, $ and $ \, \color{orangered}{ -2x^2-9x-7 }$.	3
403	Add $ \, \color{blue}{ 8x^2-x+4 } \, $ and $ \, \color{orangered}{ x-5 }$.	3
404	Multiply polynomial $ \, \color{blue}{ 5-x } \, $ by $ \, \color{orangered}{ x+6 }$.	3
405	Multiply polynomial $ \, \color{blue}{ a^2+3 } \, $ by $ \, \color{orangered}{ a+3 }$.	3
406	Subtract polynomials: $ \, \color{blue}{ 5x^3+3x^2+5 } \, $ , $ \, \color{orangered}{ 7x^2-9x^2+8x-5 }$.	3
407	Subtract polynomials: $ \, \color{blue}{ -x^2+x-4 } \, $ , $ \, \color{orangered}{ 3x^2-8x-2 }$.	3
408	Subtract polynomials: $ \, \color{blue}{ 8x^2-3x } \, $ , $ \, \color{orangered}{ 5x-5-8x^2 }$.	3
409	Subtract polynomials: $ \, \color{blue}{ -3-4x^2-8x^4 } \, $ , $ \, \color{orangered}{ -1+3x^4+8x^2 }$.	2
410	Subtract polynomials: $ \, \color{blue}{ 4g^3+6g^2+3g+9 } \, $ , $ \, \color{orangered}{ 3g^3+5g^2+g+1 }$.	2
411	Subtract polynomials: $ \, \color{blue}{ 8n^3+6n^2+n-7 } \, $ , $ \, \color{orangered}{ \cancel{8n}-2n^2 -\cancel{8n} }$.	2
412	Subtract polynomials: $ \, \color{blue}{ -4+8n^2-8n } \, $ , $ \, \color{orangered}{ \cancel{8n}-2n^2 -\cancel{8n} }$.	2
413	Subtract polynomials: $ \, \color{blue}{ -4+8n^2-8n^3-2n } \, $ , $ \, \color{orangered}{ 7n^2-4n^3-1 }$.	2
414	Multiply polynomial $ \, \color{blue}{ x^2+6x-4 } \, $ by $ \, \color{orangered}{ 2x-4 }$.	2
415	Subtract polynomials: $ \, \color{blue}{ -2g^3+4g^2-g-8 } \, $ , $ \, \color{orangered}{ -7g^3+g }$.	2
416	Subtract polynomials: $ \, \color{blue}{ -4s^4+3s^3 } \, $ , $ \, \color{orangered}{ 2s-3 }$.	2
417	Subtract polynomials: $ \, \color{blue}{ 6q^4-q^3+9q^2+6q+4 } \, $ , $ \, \color{orangered}{ 6q^4+7q^3+2q^2-3q }$.	2
418	Multiply polynomial $ \, \color{blue}{ 2t+2 } \, $ by $ \, \color{orangered}{ 2t-2 }$.	2
419	Multiply polynomial $ \, \color{blue}{ 3g+4 } \, $ by $ \, \color{orangered}{ 4g-3 }$.	2
420	Multiply polynomial $ \, \color{blue}{ r^2+r+1 } \, $ by $ \, \color{orangered}{ 3r-4 }$.	2
421	Multiply polynomial $ \, \color{blue}{ d^2-4d+4 } \, $ by $ \, \color{orangered}{ 3d+1 }$.	2
422	Multiply polynomial $ \, \color{blue}{ 2v^2+4v+2 } \, $ by $ \, \color{orangered}{ 2v+4 }$.	2
423	Multiply polynomial $ \, \color{blue}{ 4x^2+12x-9 } \, $ by $ \, \color{orangered}{ x-3 }$.	2
424	Add $ \, \color{blue}{ 2x+15+x+x+15+x-5+x+2x-5 } \, $ and $ \, \color{orangered}{ 0 }$.	2
425	Subtract polynomials: $ \, \color{blue}{ 2x-8x^2 } \, $ , $ \, \color{orangered}{ 5x^4-3x^2 }$.	2
426	Add $ \, \color{blue}{ -2x^2+10x^4+x^3 } \, $ and $ \, \color{orangered}{ 4x^3+3x^4+8x^2 }$.	2
427	Subtract polynomials: $ \, \color{blue}{ 4x^3+5 } \, $ , $ \, \color{orangered}{ 7-2x^3 }$.	2
428	Subtract polynomials: $ \, \color{blue}{ 4x^4-2x } \, $ , $ \, \color{orangered}{ 6x-2x^4 }$.	2
429	Subtract polynomials: $ \, \color{blue}{ 13x^2-6x^5-2x } \, $ , $ \, \color{orangered}{ -10x^2-11x^5+9x }$.	2
430	Multiply polynomial $ \, \color{blue}{ 2x^3+3x^2 } \, $ by $ \, \color{orangered}{ 4x^4-5x^3-6x^2 }$.	2
431	Add $ \, \color{blue}{ 4x^2+x+5 } \, $ and $ \, \color{orangered}{ 7x^2-3x-3 }$.	2
432	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
433	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+20s+20 }$.	2
434	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
435	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
436	Multiply polynomial $ \, \color{blue}{ w-1 } \, $ by $ \, \color{orangered}{ 4w-4 }$.	2
437	Subtract polynomials: $ \, \color{blue}{ -3t^2+2t+2 } \, $ , $ \, \color{orangered}{ -2t^2-7t-1 }$.	2
438	Multiply polynomial $ \, \color{blue}{ 4t+1 } \, $ by $ \, \color{orangered}{ 2t-1 }$.	2
439	Multiply polynomial $ \, \color{blue}{ 4c+1 } \, $ by $ \, \color{orangered}{ -4c^2+3c-1 }$.	2
440	Multiply polynomial $ \, \color{blue}{ -2g^3+11g^2-10g-14 } \, $ by $ \, \color{orangered}{ g-2 }$.	2
441	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
442	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
443	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
444	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
445	Multiply polynomial $ \, \color{blue}{ s^3+10s^2+29s+20 } \, $ by $ \, \color{orangered}{ s^4+26s^3+223s^2+630s }$.	2
446	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
447	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
448	Multiply polynomial $ \, \color{blue}{ 8x+2 } \, $ by $ \, \color{orangered}{ 7x+6 }$.	2
449	Multiply polynomial $ \, \color{blue}{ 8x-6 } \, $ by $ \, \color{orangered}{ 3x-2 }$.	2
450	Subtract polynomials: $ \, \color{blue}{ 3x^5+7x^2-4x+8 } \, $ , $ \, \color{orangered}{ 4x^4+16x-3x+7 }$.	2