{"id":277,"date":"2023-05-05T10:00:21","date_gmt":"2023-05-05T04:30:21","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=277"},"modified":"2023-05-06T09:14:20","modified_gmt":"2023-05-06T03:44:20","slug":"types-of-polynomials","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/types-of-polynomials\/","title":{"rendered":"Types Of Polynomials"},"content":{"rendered":"

Types Of Polynomials<\/strong><\/h2>\n

(i) Based on degree :<\/strong>
\nIf degree of polynomial is<\/p>\n\n\n\n\n\n\n\n
<\/td>\nExamples<\/strong><\/td>\n<\/tr>\n
1.<\/td>\nOne<\/td>\n\u00a0 Linear<\/td>\nx + 3, y \u2013 x + 2, \u221a3x \u20133<\/td>\n<\/tr>\n
2.<\/td>\nTwo<\/td>\nQuadratic<\/td>\n2x2<\/sup> \u20137, \\(\\frac{1}{3}{{\\text{x}}^{2}}+{{\\text{y}}^{2}}-2\\text{xy}\\), x2<\/sup> +1+ 3y<\/td>\n<\/tr>\n
3.<\/td>\nThree<\/td>\nCubic<\/td>\nx3<\/sup> + 3x2<\/sup> \u20137x+8, 2x2<\/sup>+5x3<\/sup>+7,<\/td>\n<\/tr>\n
4.<\/td>\nFour<\/td>\nbi-quadratic<\/td>\nx4<\/sup> + y4<\/sup> + 2x2<\/sup>y2<\/sup>, x4<\/sup> + 3,\u2026<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

(ii) Based on Terms :<\/strong>
\nIf number of terms in polynomial is<\/p>\n\n\n\n\n\n\n
\u00a0<\/strong><\/td>\nExamples<\/strong><\/td>\n<\/tr>\n
1.<\/td>\nOne<\/td>\nMonomial<\/td>\n7x, 5x9<\/sup>, 3x16<\/sup>, xy, \u2026\u2026<\/td>\n<\/tr>\n
2.<\/td>\nTwo<\/td>\nBinomial<\/td>\n2 + 7y6<\/sup>, y3<\/sup> + x14<\/sup>, 7 + 5x9<\/sup>,\u2026<\/td>\n<\/tr>\n
3.<\/td>\nThree<\/td>\nTrinomial<\/td>\nx3<\/sup> \u20132x + y, x31<\/sup>+y32<\/sup>+ z33<\/sup>,\u2026..<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Note:<\/strong>
\n(1) Degree of constant polynomials\u00a0(Ex.5, 7, \u20133, 8\/5, \u2026) is zero.
\n(2) Degree of zero polynomial (zero = 0\u00a0= zero polynomial) is not defined.<\/p>\n

Read More:<\/b><\/p>\n