TY - JOURAU - Hooley, ChristopherTI - On the greatest prime factor of a cubic polynomial.JO - Journal für die reine und angewandte MathematikPY - 1978VL - 0303_0304SP - 21EP - 50LA - engKW - Greatest Prime Factor; Kloosterman-Ramanujan Sums; Cubic PolynomialUR - http://eudml.org...
lf a polynomial f(x) is divided by (ax - b) then the remainder is f(a/b). 同因式定理,可利用代值快速求余数。 (5)Mathematicalproof State any information or assumptions you are using Show every step of your proof clearly Make sure that every step follows logically from the previous step...
关键词: largest prime factor cubic polynomial hypothesis R* unconditional DOI: 10.1112/plms/82.3.554 被引量: 14 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 academic.oup.com Wiley Semantic Scholar (全网免费下载) dx.doi.org Oxford Univ Press 查看更多 ...
that for the greatest prime factor P(x) of the value of an integral irreducible polynomial f (x) of degree n≥2 for integral x>0 the estimate P(x) >c f In In x, x > x 0 ( f ) holds, where c f is a positive value effectively defined by the coefficients of the polynomial. ...
In mathematics, cubic equations have a polynomial of degree three, and they are factored using different techniques. Learn about the method of grouping to factor cubic equations, explore how to separate an equation's terms, and remove each group's largest common factor, to solve cubic equations...
Or can we?No, you cannot get q from b because T(x) and P(x) are not equal. T(x) is a cubic polynomial, while P(x) is a quadratic polynomial. The constant term in T(x) does not necessarily correspond to the constant term in P(x). ...
What is a cubic equation? A cubic equation is a polynomial equation of the form ax^3 + bx^2 + cx + d = 0, where a, b, c, and d are constants and x is the variable. It is called a cubic equation because it has a highest degree of 3. What is factoring?
The zeros of the given cubic polynomial can be determined by first using the identity in which we get the product of a linear factor and a quadratic polynomial. The resulting quadratic polynomial can be factored either by using the middle term splitting method or using the ...
of the resistance variation rate data points of different temperature points; carrying out curve fitting to the discrete data points by a cubic polynomial; calculating the coefficient of each item in the cubic polynomial so as to obtain the generate cubic polynomial phi (Tj) of the corresponding ...
Multiplying Polynomials In addition to level 3, students make connections to other content areas and/or contextual situations outside of math. Warm Up #10 Multiply the polynomial. 1. (x + 2)(x + 3)(x + 1) Chapter 6 – Polynomials and Polynomial Functions 3.1 Adding, Subtracting and...