Operations on polynomials

(the database of solved problems)

All the problems and solutions shown below were generated using the Polynomial Operations Calculator.

Select category

ID	Problem	Count
1251	Add $ \, \color{blue}{ x^2-7x+5 } \, $ and $ \, \color{orangered}{ -3x-x+10 }$.	2
1252	Multiply polynomial $ \, \color{blue}{ x^2+12x+32 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
1253	Multiply polynomial $ \, \color{blue}{ x^2-6x-40 } \, $ by $ \, \color{orangered}{ x-10 }$.	2
1254	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ 2x^2+x-1 }$.	2
1255	Multiply polynomial $ \, \color{blue}{ -18x-4x-1 } \, $ by $ \, \color{orangered}{ 5x+10 }$.	2
1256	Subtract polynomials: $ \, \color{blue}{ -8x+7x-8 } \, $ , $ \, \color{orangered}{ 1820x+3x+9 }$.	2
1257	Subtract polynomials: $ \, \color{blue}{ 2z^{13}+11z^{10}+7z^7+9z^5 } \, $ , $ \, \color{orangered}{ 7z^{14}-7z^{10}+7z^7+4z^5 }$.	2
1258	Multiply polynomial $ \, \color{blue}{ 2x+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$.	2
1259	Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
1260	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$.	2
1261	Add $ \, \color{blue}{ 14x-2x^2-11 } \, $ and $ \, \color{orangered}{ -2x^2-5x-7 }$.	2
1262	Add $ \, \color{blue}{ 9x^2+6 } \, $ and $ \, \color{orangered}{ 2x^2-x-10 }$.	2
1263	Subtract polynomials: $ \, \color{blue}{ -10x^2+4x } \, $ , $ \, \color{orangered}{ -4x^2+6x+8 }$.	2
1264	Subtract polynomials: $ \, \color{blue}{ -x^2-4x+1 } \, $ , $ \, \color{orangered}{ 2x^2+9 }$.	2
1265	Multiply polynomial $ \, \color{blue}{ 2x^2-x+4 } \, $ by $ \, \color{orangered}{ 3x^2+x+4 }$.	2
1266	Add $ \, \color{blue}{ 3x^4+2-2x^3 } \, $ and $ \, \color{orangered}{ 4x^3+4x^4 }$.	2
1267	Add $ \, \color{blue}{ 7x^2-4 } \, $ and $ \, \color{orangered}{ 6x^3-4x-4x^4 }$.	2
1268	Subtract polynomials: $ \, \color{blue}{ 4x^3+6x-7 } \, $ , $ \, \color{orangered}{ 3x^3-5x^2-5x }$.	2
1269	Subtract polynomials: $ \, \color{blue}{ 4x^3+6x-7 } \, $ , $ \, \color{orangered}{ 3x^3-5x^2-5x }$.	2
1270	Multiply polynomial $ \, \color{blue}{ 5x^3 } \, $ by $ \, \color{orangered}{ 6x-8 }$.	2
1271	Subtract polynomials: $ \, \color{blue}{ 12x^2-8x+11 } \, $ , $ \, \color{orangered}{ -14+10x^2-6x }$.	2
1272	Add $ \, \color{blue}{ 8x^2-3x+9 } \, $ and $ \, \color{orangered}{ 4x^2+8x-2 }$.	2
1273	Multiply polynomial $ \, \color{blue}{ x^2+3x } \, $ by $ \, \color{orangered}{ x^2-x+4 }$.	2
1274	Subtract polynomials: $ \, \color{blue}{ 2x^2-9x+3 } \, $ , $ \, \color{orangered}{ 3x^2+3x-2 }$.	2
1275	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2+2x+4 }$.	2
1276	Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x+8 }$.	2
1277	Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
1278	Multiply polynomial $ \, \color{blue}{ 3x+7 } \, $ by $ \, \color{orangered}{ 2x+3 }$.	2
1279	Multiply polynomial $ \, \color{blue}{ x-10 } \, $ by $ \, \color{orangered}{ x+2 }$.	2
1280	Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ x+8 }$.	2
1281	Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ 3x^3-4x^2-2x+10 }$.	2
1282	Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ x^3-4x^2-2x+10 }$.	2
1283	Add $ \, \color{blue}{ -5x^3+4x^2-8x+9 } \, $ and $ \, \color{orangered}{ 10x^3+10x^2-6x-3 }$.	2
1284	Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$.	2
1285	Add $ \, \color{blue}{ 3u+6 } \, $ and $ \, \color{orangered}{ u^2+4 }$.	2
1286	Multiply polynomial $ \, \color{blue}{ 2 } \, $ by $ \, \color{orangered}{ -3g^2-9 }$.	2
1287	Add $ \, \color{blue}{ -2q^3+7q^2 } \, $ and $ \, \color{orangered}{ -q+8 }$.	2
1288	Multiply polynomial $ \, \color{blue}{ 3x^2+x-2 } \, $ by $ \, \color{orangered}{ -4x^2-2x-1 }$.	2
1289	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ x+6 }$.	2
1290	Multiply polynomial $ \, \color{blue}{ 3c-5 } \, $ by $ \, \color{orangered}{ 3c-5 }$.	2
1291	Multiply polynomial $ \, \color{blue}{ -x-3 } \, $ by $ \, \color{orangered}{ 2x^2+5x+8 }$.	2
1292	Multiply polynomial $ \, \color{blue}{ -4x^5 } \, $ by $ \, \color{orangered}{ 11x^3+2x^2+9x+1 }$.	2
1293	Add $ \, \color{blue}{ 4t+8t+9 } \, $ and $ \, \color{orangered}{ 6t+5 }$.	2
1294	Add $ \, \color{blue}{ 12x^5-3x^4+2x-5 } \, $ and $ \, \color{orangered}{ 8x^4-3x^3+4x+1 }$.	2
1295	Subtract polynomials: $ \, \color{blue}{ 5x^6-2x^4+9x^3+2x-4 } \, $ , $ \, \color{orangered}{ 7x^5-8x^4+2x-11 }$.	2
1296	Multiply polynomial $ \, \color{blue}{ 8b-2 } \, $ by $ \, \color{orangered}{ 3b^2+2b-2 }$.	2
1297	Subtract polynomials: $ \, \color{blue}{ 7a^2-a+4 } \, $ , $ \, \color{orangered}{ 3a^2-4a-3 }$.	2
1298	Multiply polynomial $ \, \color{blue}{ 2a } \, $ by $ \, \color{orangered}{ 5a^2+8a+8 }$.	2
1299	Subtract polynomials: $ \, \color{blue}{ -18p^2+p-32 } \, $ , $ \, \color{orangered}{ 40-13p^2 }$.	2
1300	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2-x+3 }$.	2