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
451	Subtract polynomials: $14 p + 4 p$ , $2 p + p$ .	2
452	Subtract polynomials: $8 x + 4 x^{2} - 4$ , $6 + 7 x^{2} + x$ .	2
453	Add $x + 5 x^{2} + 7 x^{3}$ and $8 x^{3} - x$ .	2
454	Multiply polynomial $5 x - 2$ by $4 x + 7$ .	2
455	Multiply polynomial $6 x^{2} - x - 4$ by $2 x^{2} - 7 x - 6$ .	2
456	Add $- 2 x^{2} + x + 31$ and $3 x^{2} + 7 x - 8$ .	2
457	Subtract polynomials: $- 9 + 2 n^{4} + 13 n$ , $12 + 7 n^{4} + n$ .	2
458	Add $2 x^{2} + 9 x$ and $5 x^{2} - 8 x$ .	2
459	Subtract polynomials: $3 x^{4} - 3 x$ , $3 x - 3 x^{4}$ .	2
460	Multiply polynomial $x + 6$ by $x - 4$ .	2
461	Add $4 - 5$ and $2 x + 5$ .	2
462	Multiply polynomial $2 x^{9} + 3 x^{7}$ by $- 6 x^{2} + 9$ .	2
463	Subtract polynomials: $4 x^{2} + 9$ , $x^{2} + 4 x$ .	2
464	Multiply polynomial $4 x^{3} + 5$ by $3 x^{6} - 8 x^{2}$ .	2
465	Subtract polynomials: $- 5 x$ , $- 2 x + 5$ .	2
466	Multiply polynomial $- x^{2} + 4 x + 3$ by $3 x^{2} - 7 x + 6$ .	2
467	Add $3 x^{2} - 6 x^{4} + 5 - 6 x$ and $5 x^{4} - 6 x^{3} + 4 x$ .	2
468	Multiply polynomial $2 x - 3$ by $x^{2} - 10 x - 2$ .	2
469	Subtract polynomials: $8 x^{4} - 2 x^{2} + x - 4$ , $3 x^{3} - 12 x^{2} + 8 x$ .	2
470	Multiply polynomial $x + 1$ by $x - 2$ .	2
471	Multiply polynomial $x^{2} + x - 2$ by $x^{2} - 6 x + 8$ .	2
472	Multiply polynomial $x - 2$ by $x + 1$ .	2
473	Multiply polynomial $x - 2$ by $x - 4$ .	2
474	Multiply polynomial $x^{2} - 6 x + 8$ by $x^{2} - x - 2$ .	2
475	Subtract polynomials: $- x^{2} + 5 x - 11$ , $- x^{2} + 6 x - 14$ .	2
476	Subtract polynomials: $- 4 x^{2} - 11 x + 7$ , $5 x^{2} - 7 x - 9$ .	2
477	Subtract polynomials: $3 x^{2} - 7 x + 12$ , $x^{2} - 8 x + 18$ .	2
478	Subtract polynomials: $8 n^{3} - n^{4} - 8 n$ , $8 n^{4} + 5 n^{3} - 8 n$ .	2
479	Multiply polynomial $n 0$ by $n 0$ .	2
480	Add $5 + 8 + 11 + 58$ and $2 x + 5$ .	2
481	Add $2 x^{3} + 2 x^{2} - x + 1$ and $- 2 x^{3} + 5 x^{2} + x + 2$ .	2
482	Multiply polynomial $x^{2} + 14 x + 40$ by $- 6 x - 1$ .	2
483	Multiply polynomial $- 3 + 10 x^{3} - 5 x^{2}$ by $2 x + 5$ .	2
484	Subtract polynomials: $8 x^{2} - 7 x + 8$ , $4 x^{2} - 3 x + 3$ .	2
485	Subtract polynomials: $9 x^{3} - 4 x^{2} - 6 x + 8$ , $x^{3} - x^{2} + 11 x + 7$ .	2
486	Multiply polynomial $5 x^{2} + x - 7$ by $x + 5$ .	2
487	Multiply polynomial $4 x^{2} + 2 x + 7$ by $- x - 2$ .	2
488	Subtract polynomials: $5 x^{2} - 4 x + 2$ , $11 x^{2} + 5 x - 2$ .	2
489	Add $6 y^{2} + y - 5$ and $9 y^{2} - y - 8$ .	2
490	Add $5 x^{2} - x + 5$ and $4 x^{2} + 9 x - 7$ .	2
491	Add $- 4 x + x - 12$ and $2 x^{3} + 3 x^{2} - 4$ .	2
492	Subtract polynomials: $d + 6 d^{3} + 4 d^{2}$ , $12 - 4 d + 5 d^{2}$ .	2
493	Subtract polynomials: $- d + 6 d^{3} + 4 d^{2}$ , $12 - 4 d + 5 d^{2}$ .	2
494	Subtract polynomials: $3 y^{3} + 5 y + 8$ , $y^{3} - 4 y^{2} + 3 y$ .	2
495	Subtract polynomials: $2 x^{3} + 8 x^{4} + 8 x$ , $x^{4} - 4 x^{3} + 3 x$ .	2
496	Subtract polynomials: $11 x^{3} - 3 x^{2}$ , $4 x^{3} - x^{2} + 8 x$ .	2
497	Multiply polynomial $2 x - 3$ by $x^{2} - 4 x + 2$ .	2
498	Multiply polynomial $15 x^{3}$ by $4 x^{3}$ .	2
499	Multiply polynomial $- 4 + 3 r$ by $7 r - 2$ .	2
500	Subtract polynomials: $6 x^{2} + 3 x - 9$ , $- 2 x^{2} + 4 x - 1$ .	2