Operations on polynomials

(the database of solved problems)

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

Select category

ID	Problem	Count
551	Subtract polynomials: $ \, \color{blue}{ 4x-3 } \, $ , $ \, \color{orangered}{ x^3+2x }$.	2
552	Multiply polynomial $ \, \color{blue}{ 2x^2+5x-9 } \, $ by $ \, \color{orangered}{ 3x-17 }$.	2
553	Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 3+4x }$.	2
554	Add $ \, \color{blue}{ 3x+1 } \, $ and $ \, \color{orangered}{ 2x-3 }$.	2
555	Subtract polynomials: $ \, \color{blue}{ x^2+2 } \, $ , $ \, \color{orangered}{ x-22 }$.	2
556	Multiply polynomial $ \, \color{blue}{ 16i^2-16i+16 } \, $ by $ \, \color{orangered}{ 4-4i }$.	2
557	Multiply polynomial $ \, \color{blue}{ 16-16i+16i^2 } \, $ by $ \, \color{orangered}{ 16-16i+16i^2 }$.	2
558	Add $ \, \color{blue}{ 2x+3x^3+1 } \, $ and $ \, \color{orangered}{ 2+3x^2+x }$.	2
559	Multiply polynomial $ \, \color{blue}{ 3x^2+2x-7 } \, $ by $ \, \color{orangered}{ 5x^2+2x-7 }$.	2
560	Add $ \, \color{blue}{ x^2+3 } \, $ and $ \, \color{orangered}{ 2x^2+2x+1 }$.	2
561	Add $ \, \color{blue}{ 2x^2+3 } \, $ and $ \, \color{orangered}{ 4x-1 }$.	2
562	Add $ \, \color{blue}{ 7a-6a^3+a^2 } \, $ and $ \, \color{orangered}{ 2-3a^2+a }$.	2
563	Add $ \, \color{blue}{ 1+7r^4-8r } \, $ and $ \, \color{orangered}{ 4r-2r^4-1 }$.	2
564	Add $ \, \color{blue}{ -k-8k^3+5k^4+k^2 } \, $ and $ \, \color{orangered}{ -3k^3+6k^2+3k }$.	2
565	Add $ \, \color{blue}{ -6x^4-3x^3+5+3x^2 } \, $ and $ \, \color{orangered}{ 8x^4+6x^3+4x^2 }$.	2
566	Subtract polynomials: $ \, \color{blue}{ -7r-4r^3-7r^2 } \, $ , $ \, \color{orangered}{ 4r+7r^3-2r^2 }$.	2
567	Subtract polynomials: $ \, \color{blue}{ -3-4x^2-8x^4 } \, $ , $ \, \color{orangered}{ -1+3x^4+8x^2 }$.	2
568	Subtract polynomials: $ \, \color{blue}{ 8n^3+6n^2+n-7 } \, $ , $ \, \color{orangered}{ \cancel{8n}-2n^2 -\cancel{8n} }$.	2
569	Subtract polynomials: $ \, \color{blue}{ -4+8n^2-8n } \, $ , $ \, \color{orangered}{ \cancel{8n}-2n^2 -\cancel{8n} }$.	2
570	Subtract polynomials: $ \, \color{blue}{ -4+8n^2-8n^3-2n } \, $ , $ \, \color{orangered}{ 7n^2-4n^3-1 }$.	2
571	Multiply polynomial $ \, \color{blue}{ x^2+6x-4 } \, $ by $ \, \color{orangered}{ 2x-4 }$.	2
572	Subtract polynomials: $ \, \color{blue}{ -2g^3+4g^2-g-8 } \, $ , $ \, \color{orangered}{ -7g^3+g }$.	2
573	Subtract polynomials: $ \, \color{blue}{ -4s^4+3s^3 } \, $ , $ \, \color{orangered}{ 2s-3 }$.	2
574	Subtract polynomials: $ \, \color{blue}{ 6q^4-q^3+9q^2+6q+4 } \, $ , $ \, \color{orangered}{ 6q^4+7q^3+2q^2-3q }$.	2
575	Subtract polynomials: $ \, \color{blue}{ 4g^3+6g^2+3g+9 } \, $ , $ \, \color{orangered}{ 3g^3+5g^2+g+1 }$.	2
576	Multiply polynomial $ \, \color{blue}{ 2t+2 } \, $ by $ \, \color{orangered}{ 2t-2 }$.	2
577	Multiply polynomial $ \, \color{blue}{ 3g+4 } \, $ by $ \, \color{orangered}{ 4g-3 }$.	2
578	Multiply polynomial $ \, \color{blue}{ r^2+r+1 } \, $ by $ \, \color{orangered}{ 3r-4 }$.	2
579	Multiply polynomial $ \, \color{blue}{ d^2-4d+4 } \, $ by $ \, \color{orangered}{ 3d+1 }$.	2
580	Multiply polynomial $ \, \color{blue}{ 2v^2+4v+2 } \, $ by $ \, \color{orangered}{ 2v+4 }$.	2
581	Multiply polynomial $ \, \color{blue}{ 4x^2+12x-9 } \, $ by $ \, \color{orangered}{ x-3 }$.	2
582	Add $ \, \color{blue}{ 2x+15+x+x+15+x-5+x+2x-5 } \, $ and $ \, \color{orangered}{ 0 }$.	2
583	Subtract polynomials: $ \, \color{blue}{ 2x-8x^2 } \, $ , $ \, \color{orangered}{ 5x^4-3x^2 }$.	2
584	Add $ \, \color{blue}{ -2x^2+10x^4+x^3 } \, $ and $ \, \color{orangered}{ 4x^3+3x^4+8x^2 }$.	2
585	Subtract polynomials: $ \, \color{blue}{ 4x^3+5 } \, $ , $ \, \color{orangered}{ 7-2x^3 }$.	2
586	Subtract polynomials: $ \, \color{blue}{ 4x^4-2x } \, $ , $ \, \color{orangered}{ 6x-2x^4 }$.	2
587	Subtract polynomials: $ \, \color{blue}{ 13x^2-6x^5-2x } \, $ , $ \, \color{orangered}{ -10x^2-11x^5+9x }$.	2
588	Multiply polynomial $ \, \color{blue}{ 2x^3+3x^2 } \, $ by $ \, \color{orangered}{ 4x^4-5x^3-6x^2 }$.	2
589	Add $ \, \color{blue}{ 4x^2+x+5 } \, $ and $ \, \color{orangered}{ 7x^2-3x-3 }$.	2
590	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
591	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+20s+20 }$.	2
592	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
593	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
594	Multiply polynomial $ \, \color{blue}{ w-1 } \, $ by $ \, \color{orangered}{ 4w-4 }$.	2
595	Subtract polynomials: $ \, \color{blue}{ -3t^2+2t+2 } \, $ , $ \, \color{orangered}{ -2t^2-7t-1 }$.	2
596	Multiply polynomial $ \, \color{blue}{ 4t+1 } \, $ by $ \, \color{orangered}{ 2t-1 }$.	2
597	Multiply polynomial $ \, \color{blue}{ 4c+1 } \, $ by $ \, \color{orangered}{ -4c^2+3c-1 }$.	2
598	Multiply polynomial $ \, \color{blue}{ -2g^3+11g^2-10g-14 } \, $ by $ \, \color{orangered}{ g-2 }$.	2
599	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
600	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2