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
501	Multiply polynomial $x^{6} + x^{4} + 3 x$ by $2 x + 5$ .	2
502	Multiply polynomial $4 v - 1$ by $v + 3$ .	2
503	Multiply polynomial $x + 4$ by $x^{2} - 4 x + 16$ .	2
504	Multiply polynomial $11 x^{2} - 14 x + 3$ by $9 x - 2$ .	2
505	Multiply polynomial $5 x^{2} - x - 5$ by $5 x - 3$ .	2
506	Subtract polynomials: $2 x^{4} - 4 - x$ , $2 x^{4} - x + 4$ .	2
507	Multiply polynomial $- x^{2} - 4 x + 1$ by $2 x^{2} - 9$ .	2
508	Multiply polynomial $3 x^{3}$ by $3 x^{2}$ .	2
509	Subtract polynomials: $3 x^{2} - x + 10$ , $- 2 x + 9 x^{2} - 1$ .	2
510	Multiply polynomial $2 x + 1$ by $x - 3$ .	2
511	Multiply polynomial $x^{3} - 4 x - 2$ by $x^{2} - 6$ .	2
512	Multiply polynomial $10 x + 3$ by $x^{2} - 1$ .	2
513	Multiply polynomial $2 x^{2} + 10$ by $x - 2$ .	2
514	Multiply polynomial $3 x^{2} - 3 x - 9$ by $- 9 x$ .	2
515	Add $x - 6$ and $x - 6$ .	2
516	Add $2 x^{2}$ and $2 x^{2}$ .	2
517	Add $4 x^{2}$ and $2 x - 12$ .	2
518	Add $45$ and $56$ .	2
519	Multiply polynomial $x^{3} - 12 x^{2} + 20 x + 90$ by $x - 6$ .	2
520	Add $5 x^{2} + 2 x - 4$ and $x^{2} - 3 x + 4$ .	2
521	Subtract polynomials: $x^{2} + 6 x - 10$ , $- 8 x^{2} - 3 x$ .	2
522	Subtract polynomials: $- 5 x^{2} + 7 x + 2$ , $- 5 x^{2} - 7 x + 2$ .	2
523	Multiply polynomial $- 7 x^{2} - 8 x - 1$ by $- x^{2} - 5 x + 1$ .	2
524	Multiply polynomial $- 7 x^{2} - 3 x + 5$ by $7 x^{2} - 6 x + 7$ .	2
525	Add $x - x^{4} - 3 x^{3}$ and $- 6 x^{3} - 7 x^{2} - x$ .	2
526	Multiply polynomial $x - 1$ by $x^{3} + 6 x^{2} + 25 x + 44$ .	2
527	Multiply polynomial $x - 1$ by $x^{3} + 6 x^{2} - 25 x - 6$ .	2
528	Multiply polynomial $96 x$ by $2 x + 5$ .	2
529	Multiply polynomial $2 x - 5$ by $3 x^{2} + 4 x - 8$ .	2
530	Subtract polynomials: $2 x^{2} + 7$ , $x^{2} + 2 x + 7$ .	2
531	Multiply polynomial $- 2$ by $6 v - 3 v - 3$ .	2
532	Multiply polynomial $- 2$ by $3 v^{2} - 3 v - 3$ .	2
533	Subtract polynomials: $- 4 r^{2} + 2$ , $2 r^{2} + 5 r$ .	2
534	Multiply polynomial $- 2 w^{2}$ by $w^{2} - 4 w - 2$ .	2
535	Multiply polynomial $- 2 + 2 x$ by $- 6 + 4 x$ .	2
536	Subtract polynomials: $6 x^{2} + 3 x - 8$ , $x^{2} - 3 x + 4$ .	2
537	Multiply polynomial $- 7 x^{2} - 1$ by $x^{2} - x - 5$ .	2
538	Subtract polynomials: $4 x^{2} - 1$ , $x^{2} - 16$ .	2
539	Subtract polynomials: $12 x^{2} - 25 x - 7$ , $6 x^{2} - 32 x + 32$ .	2
540	Subtract polynomials: $9 x^{2} - 6 x + 1$ , $x^{2} + 12 x + 36$ .	2
541	Add $- 5 x - 5$ and $- x^{2}$ .	2
542	Add $- 2 x^{3} - x^{2} + 8 x - 1$ and $2 x + 9$ .	2
543	Add $7 x + 1$ and $8 x^{2} + 3 x + 9$ .	2
544	Add $2 x + 2$ and $- 4 x^{3} - 5 x^{2} - 8$ .	2
545	Subtract polynomials: $x^{2} + 2 x - 9$ , $8 x - 8$ .	2
546	Subtract polynomials: $5 x + 6$ , $5 x^{3} + 4 x^{2} - 9 x + 2$ .	2
547	Multiply polynomial $- 2 x + 2$ by $- x^{2}$ .	2
548	Add $1 + 7 r^{4} - 8 r$ and $4 r - 2 r^{4} - 1$ .	2
549	Add $- k - 8 k^{3} + 5 k^{4} + k^{2}$ and $- 3 k^{3} + 6 k^{2} + 3 k$ .	2
550	Add $- 6 x^{4} - 3 x^{3} + 5 + 3 x^{2}$ and $8 x^{4} + 6 x^{3} + 4 x^{2}$ .	2