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
1601	Multiply polynomial $3 a + 1$ by $3 a - 1$ .	1
1602	Multiply polynomial $9$ by $2 x^{2} - x$ .	1
1603	Subtract polynomials: $7 d^{2} + 5 d + 3$ , $d^{2}$ .	1
1604	Add $4 b^{2} + 4 b + 3$ and $9 b^{2} + 7 b + 9$ .	1
1605	Subtract polynomials: $4 f^{2} + 3 f + 7$ , $3 f^{2} + 3 f + 1$ .	1
1606	Add $8 q^{2} - 2$ and $- 5 q + 9$ .	1
1607	Subtract polynomials: $8 f^{3} + 4 f^{2} + f - 7$ , $8 f^{3} + 8 f - 6$ .	1
1608	Add $- 2 x^{2} + 4 x$ and $x^{2} + 9 x$ .	1
1609	Add $2 y^{3} + 6 y - 4$ and $y - 1$ .	1
1610	Add $6 x^{2} + 2 x^{3} - 2$ and $7 x^{3} + 4 x^{2} + 2$ .	1
1611	Add $7 x^{2} + 5 x^{4} - 2 x^{3}$ and $7 x^{3} + 1 + 7 x^{4}$ .	1
1612	Subtract polynomials: $7 x^{2} + 5 x^{4} - 2 x^{3}$ , $7 x^{3} + 1 + 7 x^{4}$ .	1
1613	Subtract polynomials: $6 + 8 x^{2} - 3 x$ , $1 + 7 x^{3} + 3 x^{2}$ .	1
1614	Add $4 x - 5 x^{2} - 6 x^{3} - 1$ and $2 x^{3} + 6 x^{2} + 3 + 6 x$ .	1
1615	Multiply polynomial $2 x^{2} - 8 x - 4$ by $3 x + 2$ .	1
1616	Add $x^{2} - 1$ and $x + 1$ .	1
1617	Subtract polynomials: $x^{2} - 3$ , $- 3 x^{2} + 5$ .	1
1618	Add $3 x^{2} - 5 x + 2$ and $5 x^{2} - 2 x - 6$ .	1
1619	Subtract polynomials: $2 x^{2} - 4$ , $- 3 x^{2} + 2 x - 7$ .	1
1620	Multiply polynomial $6 x + 3$ by $4 x + 1$ .	1
1621	Subtract polynomials: $- y^{2} + y + 2$ , $y^{2} - 5 y - 2$ .	1
1622	Multiply polynomial $- 3 y + 1$ by $4 y^{2} - y - 7$ .	1
1623	Multiply polynomial $2 x^{3} + 3 x^{2}$ by $4 x^{4} - 5 x^{3} - 6 x^{2}$ .	1
1624	Subtract polynomials: $- x^{2} + 2 x$ , $- 2 x$ .	1
1625	Subtract polynomials: $x^{2}$ , $2 x^{2} - 5 x$ .	1
1626	Add $5 x^{2} + 7 x + 1$ and $2 x^{3} - 6 x + 8$ .	1
1627	Add $2 x^{2} - 7 x - 3$ and $x^{2} + 6 x - 1$ .	1
1628	Multiply polynomial $9 x - 14 x + 5 x - 2$ by $4 x - 9 x + 8$ .	1
1629	Add $x^{2} - x + 4$ and $x^{2} + 5 x^{2} - 6$ .	1
1630	Subtract polynomials: $4 x^{2} - 6 x + 9$ , $2 x^{2} - 3 x + 4$ .	1
1631	Multiply polynomial $2 x - 3$ by $x + 4$ .	1
1632	Multiply polynomial $x^{2} + 4$ by $x^{2} + 2 x + 1$ .	1
1633	Multiply polynomial $y + 6$ by $y + 4$ .	1
1634	Multiply polynomial $z - 5$ by $z + 3$ .	1
1635	Multiply polynomial $a + 8$ by $a - 3$ .	1
1636	Multiply polynomial $h - 8$ by $h - 9$ .	1
1637	Multiply polynomial $3 m + 1$ by $m + 9$ .	1
1638	Multiply polynomial $3 k - 1$ by $4 k + 9$ .	1
1639	Multiply polynomial $5 g + 3$ by $g + 8$ .	1
1640	Add $x^{2} - 3 x + 1$ and $3 x^{2} + 2 x + 3$ .	1
1641	Add $x^{2} - 3 x + 1$ and $3 x^{2} + 2 x + 3$ .	1
1642	Subtract polynomials: $3 x^{2} + 2 x - 5$ , $- 3 x^{2} + 2 x - 2$ .	1
1643	Multiply polynomial $- 3 + 30 x - 10 x$ by $2 x + 5$ .	1
1644	Subtract polynomials: $10 x^{2} - 7 x + 7$ , $4 x^{2} + 5 x - 9$ .	1
1645	Add $- 6 x^{3} - 9 x^{2} - 10 x + 6$ and $8 x^{4} - 5 x^{3} + 4 x^{2} + 9 x + 3$ .	1
1646	Subtract polynomials: $11 x^{4} + 3 x^{3} - 12 x^{2} + 5 x$ , $2 x^{4} + 7 x^{3} - 8 x - 11$ .	1
1647	Add $b^{4} + 1 - 2 b^{2}$ and $- 2 b + 3 b^{2} + 3$ .	1
1648	Multiply polynomial $4 x^{3} - 3 x - 1$ by $x - 1$ .	1
1649	Add $- 7 x^{10} + 2 x^{6} - 3 x^{3}$ and $2 x^{10} - x^{6} + x^{3}$ .	1
1650	Subtract polynomials: $7 x^{2} - 3 x + 10$ , $- 4 x^{2} + 6 x - 4$ .	1