| 单词 | factor theorem |
| 释义 | > as lemmasfactor theorem factor theorem n. Mathematics the theorem stating that (x − a) is a factor of a given polynomial f(x) whenever f(a) = 0, and vice versa. ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > theorem > specific theorem > relating to functions Taylor's theorem1816 Maclaurin's theorem1820 Leibniz theorem1852 Green's theorem1857 Laurent's theorem1893 factor theorem1894 factor law1901 1894 C. Smith & I. Stringham Elem. Algebra (rev. ed.) xiii. 182 The proposition is an immediate consequence of the factor theorem, which is itself a corollary of the remainder theorem. 1928 C. I. Palmer & W. L. Miser Coll. Algebra ii. 31 The factor theorem assists in factoring by giving a quick way for testing a possible factor. 1971 M. F. Willerding & S. P. Hoffman College Algebra ix. 267 By the Remainder Theorem, the remainder when x3 + 7x2 + 3x + 3 is divided by x + 1 is 6. As a corollary of the remainder theorem we have the Factor Theorem. 2010 R. D. Gustafson et al. College Algebra (ed. 10) v. 460 We will use the factor theorem and write the three factors that correspond to the three zeros of 3, 3, and −5. < as lemmas |
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