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
1651	Subtract polynomials: $b^{2} + 8 b - 9$ , $11 b^{2} - 4 b + 7$ .	1
1652	Multiply polynomial $3 x + 8$ by $2 x^{2} - 3 x + 3$ .	1
1653	Add $4 p^{2} - 9 p + 11$ and $p^{2} - 5 p + 4$ .	1
1654	Subtract polynomials: $x^{6} + x^{4} + 3 x$ , $2 x + 5$ .	1
1655	Subtract polynomials: $x^{6} + x^{4} + 3 x$ , $x^{3} + x + 1$ .	1
1656	Multiply polynomial $x + 9$ by $x + 2$ .	1
1657	Multiply polynomial $x - 2$ by $x^{2} - 5 x + 3$ .	1
1658	Multiply polynomial $4 x - 9$ by $7 x + 4$ .	1
1659	Multiply polynomial $7 k - 6$ by $k + 7$ .	1
1660	Multiply polynomial $x - 1$ by $11 x - 3$ .	1
1661	Subtract polynomials: $6 x^{2} + 2 x^{3}$ , $- x^{2} - 6 x^{3} - 3 x$ .	1
1662	Multiply polynomial $3 x + 4$ by $2 x - 6 - x$ .	1
1663	Subtract polynomials: $x^{2} + 8 - 4 x$ , $8 + x^{2} - 7 x$ .	1
1664	Multiply polynomial $- 3 b^{2} + 4 b + 5$ by $- 2 b - 1$ .	1
1665	Multiply polynomial $2 n^{2} - 5 n - 5$ by $3 n - 3$ .	1
1666	Add $3 x^{4} - 8 x$ and $7 x - 2$ .	1
1667	Subtract polynomials: $3 x^{3}$ , $3 x^{2}$ .	1
1668	Add $5 m^{3} + 3 m + 5$ and $18 m^{3} + 10$ .	1
1669	Multiply polynomial $x + 9$ by $x - 9$ .	1
1670	Add $- x^{2} + 5 x - 4$ and $8 x - 3 x^{2} + 9$ .	1
1671	Multiply polynomial $x + 2$ by $x^{2} - 5 x + 4$ .	1
1672	Multiply polynomial $3 x^{9} + 10$ by $4 x^{2} - 7$ .	1
1673	Multiply polynomial $10 x^{3} + 3 x^{2} - 10 x - 3$ by $4 x - 9$ .	1
1674	Add $13 n^{2} + 11 n - 2 n^{4}$ and $- 13 n^{2} - 3 n - 6 n^{4}$ .	1
1675	Add $k - 3 - 3 k^{2}$ and $- 5 k + 6 k^{3} - 8 k$ .	1
1676	Add $k - 3 - 3 k^{2}$ and $- 5 k^{2} + 6 k^{3} - 8 k$ .	1
1677	Add $- 7 x^{5} + 14 - 2 x$ and $10 x^{4} + 7 x + 5 x^{5}$ .	1
1678	Subtract polynomials: $8 k + k^{2} - 6$ , $- 10 k + 7 - 2 k^{2}$ .	1
1679	Multiply polynomial $3 n + 11$ by $- n - 6$ .	1
1680	Multiply polynomial $k - 3 k$ by $6 - 5 k$ .	1
1681	Multiply polynomial $x^{2}$ by $2 x + 5$ .	1
1682	Subtract polynomials: $- 4 x^{2} - 2$ , $- 9 x - 6$ .	1
1683	Multiply polynomial $3 x - 2$ by $4 x^{2} - 3 x - 5$ .	1
1684	Multiply polynomial $x^{2} - 4$ by $5 x + 7$ .	1
1685	Add $4556$ and $5$ .	1
1686	Multiply polynomial $4556$ by $556$ .	1
1687	Multiply polynomial $327$ by $456$ .	1
1688	Subtract polynomials: $6 x^{2} - 4 x + 9$ , $- 3 x - 2$ .	1
1689	Multiply polynomial $3 x^{2} + 2 x - 8$ by $x^{2} + x + 2$ .	1
1690	Subtract polynomials: $5 x^{2} - 9 x - 10$ , $2 x + 5$ .	1
1691	Add $5 x^{2} - 9 x - 10$ and $- 6 x^{2} + 6 x$ .	1
1692	Subtract polynomials: $2 x^{3} - 2 x - 3$ , $- 6 x^{2} + 6 x$ .	1
1693	Add $15 f - 12 f + f + 6$ and $- 27 f + 8 f + 6 f - 1$ .	1
1694	Multiply polynomial $x^{3} + 512$ by $x + 8$ .	1
1695	Subtract polynomials: $2 x^{2} + 7$ , $x^{2} + 2 x - 1$ .	1
1696	Add $- 7 x^{2} - 7 x + 5$ and $10 x + 6$ .	1
1697	Subtract polynomials: $5 r^{2} + 8$ , $5 r^{2} + 1$ .	1
1698	Multiply polynomial $- 3 x^{2} + 3$ by $- 2 x^{2}$ .	1
1699	Add $2 x^{3} + 7 x - 4$ and $2 x^{2} - 8 x + 1$ .	1
1700	Add $- 7 x^{2} - 1$ and $x^{2} - x - 5$ .	1