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
551	Add $9 p - 12 - 3 p^{2}$ and $- 9 + 2 p^{2} + 4 p$ .	2
552	Subtract polynomials: $15 x^{3} - 3 x^{2} - 1$ , $10 x^{3} - 4 x^{2} + 14$ .	2
553	Subtract polynomials: $8 x^{3} + 2 x^{2}$ , $14 x^{3} - 10 x^{2} + 9$ .	2
554	Multiply polynomial $2 x + 4$ by $5 x^{2} - x + 3$ .	2
555	Multiply polynomial $2 x^{2} - 5 x + 6$ by $3 x - 2$ .	2
556	Add $3 x + 1$ and $2 x + 4$ .	2
557	Add $4 + 2 n^{3}$ and $5 n^{3} + 2$ .	2
558	Add $9 x^{2} + 5 x + 8$ and $9 x - 7$ .	2
559	Multiply polynomial $- b + 3$ by $- 2 b + 5$ .	2
560	Subtract polynomials: $4 x^{4} - 8 x + 4$ , $8 x^{2} + 4 x^{4} + 1$ .	2
561	Multiply polynomial $x + 2$ by $x^{2} + 1$ .	2
562	Add $2 x^{2} + x - 3$ and $2 x + 5$ .	2
563	Add $- 12 k^{2} + 4$ and $4 k$ .	2
564	Add $3 x^{4} - 3 x$ and $3 x - 3 x^{4}$ .	2
565	Add $5 v^{3}$ and $6 v - 8$ .	2
566	Subtract polynomials: $- x^{2} + 4 x - 9$ , $6 x^{2} + 3 x - 9$ .	2
567	Subtract polynomials: $- x^{2} + 4 x - 9$ , $- 6 x^{2} + 3 x - 9$ .	2
568	Add $4 w + 5 - 7 w^{2}$ and $3 w^{2} - 14$ .	2
569	Subtract polynomials: $b + 4 b^{2} - 3$ , $- 2 b^{2} + 2 b^{3} - 9$ .	2
570	Add $9 a + 4 a^{2} - 6$ and $a^{2} + 2 a^{2} - 7$ .	2
571	Multiply polynomial $3 x + 2$ by $- 2 x - 5$ .	2
572	Multiply polynomial $- x + 1$ by $8 x + 3$ .	2
573	Multiply polynomial $x + 1$ by $x^{2} + 2 x + 3$ .	2
574	Add $66 x^{3} + 120 x^{2}$ and $80 x^{2} - 24 x$ .	2
575	Multiply polynomial $x + 4$ by $2 x + 5$ .	2
576	Add $5 x$ and $- 3 x + 3$ .	2
577	Subtract polynomials: $- 2 x^{2} - 10 x$ , $- x$ .	2
578	Subtract polynomials: $- x^{2} - 4 x$ , $4 x$ .	2
579	Add $5 p + 3$ and $8 p + 7$ .	2
580	Add $2 x^{2} - 3 x + 5$ and $3 x + 43$ .	2
581	Multiply polynomial $7 x + 3$ by $5 x - 6$ .	2
582	Multiply polynomial $6 x^{3} + 16 x^{2} + 16 x + 11$ by $- x^{3} - x^{2} + x$ .	2
583	Multiply polynomial $6 x^{3} + 16 x^{2} + 16 x + 11$ by $- x^{3} - x^{2} + x$ .	2
584	Multiply polynomial $5 x^{3} + 3 x^{2} + 10 x + 11$ by $- x^{3} - x^{2} + x$ .	2
585	Multiply polynomial $6 x^{3} + x^{2} + 9 x + 15$ by $- x^{3} - x$ .	2
586	Add $- 6 x^{3} - 22 x^{5} - 26 x^{4} - 11 x^{3} + 5 x^{2} + 11 x$ and $- 9 x^{6} - 4 x^{5} - 15 x^{4} + 7 x^{3} - 6 x^{2} - 3 x$ .	2
587	Add $- 5 x^{6} - 8 x^{5} - 8 x^{4} - 18 x^{3} - x^{2} + 11 x$ and $- 6 x^{6} - x^{5} - 15 x^{4} - 16 x^{3} - 9 x^{2} - 15 x$ .	2
588	Add $- 11 x^{6} - 9 x^{5} - 23 x^{4} - 34 x^{3} - 10 x^{2} - 4 x$ and $x^{2} - x$ .	2
589	Add $4 x^{3} - 5 x^{2} + 3 x$ and $- 2 x^{3} - x^{2} + 6 x$ .	2
590	Add $x^{5} + x^{3}$ and $6 x - x^{3} + 6 x^{5}$ .	2
591	Add $m + 5$ and $m^{2} + 4 m - 8$ .	2
592	Add $4 a + 2$ and $6 a^{2} - a + 2$ .	2
593	Multiply polynomial $4 a + 2$ by $6 a^{2} - a + 2$ .	2
594	Multiply polynomial $x + 7$ by $8 x^{2} - x - 1$ .	2
595	Add $7 x^{2} - x + 4$ and $3 x^{2} - 4 x - 3$ .	2
596	Add $x^{4} - 2 x^{3} - 7 x^{3} + 8 x + 12$ and $x^{4} - 2 x^{3} - 7 x^{3} + 8 x + 12$ .	2
597	Multiply polynomial $x + 5$ by $x + 5$ .	2
598	Subtract polynomials: $6 x^{2} + 3 x - 3$ , $2 x - 2$ .	2
599	Subtract polynomials: $4 q + 5$ , $4 q + 1$ .	2
600	Multiply polynomial $3 x^{2} - 7 x + 5$ by $x^{2} - 4 x$ .	2