To find the zero of a polynomial function, set the function equal to zero and solve. Some zeros may occur more than one time. This is called multiplicity. For any function with degree {eq}n \ge 1 {/eq}, then the function has exactly n zeros, provided that each zero is counted ...
We describe a straightforward method to obtain a polynomial whose zeros are integer powers of the zeros of a given polynomial. The method uses linear algebra concepts, namely, companion matrices of both scalar and matrix polynomials, and is illustrated by applications.Melman Aaron...
The smallest known value forM(α) > 1 has been found by D.H. Lehmer himself [Le] and is M(α) = 1.176280... where theminimal polynomial of α is P = X 10 + X 9 − X 7 − X 6 − X 5 − X 4 − X 3 + X + 1.In 1971, C.J. Smyth [Sm1] solved the ...
The numbers of positive, real and complex zeros of a polynomial with real coefficients are shown to be related to the number of changes in sign along one or two sequences of determinants whose elements consist of the coefficients of the given polynomial and of its derivative. This in turn is...
解析 % This generates a sine-like spline curve and samples it over a finer*c for the slopes b=zeros(yd,n); b(:,2:n-1)=3*(dx(dd,2:n 结果一 题目 a degree 3 polynomial that has zeros -1,1 and 6 and in which the coefficient of x^2 is -12. 答案 一个3次多项式有零点-1,...
美国高中precalculus问题 1.怎样找出the real zeros of a polynomial function.这个是不是先要找出factors of leading coefficient除以factors of constant.然后一个一个代入原式直到得出0,然后要怎么样呢?2.怎样找出complex zeros of a polynomial.这个我完全不懂.求讲解in general就可以了. 答案 其实就是解高次方...
Trigonometric polynomials with many real zeros and a Littlewood-type problem_专业资料。??×?? ? ? We examine the size of a real trigonometric polynomial of degree at most n having at least k zeros in K: = ê (mod 2π) (counting multiplicities). This result is then used to give a ...
Explain whether the graph might represent a polynomial function that has zeros of order 2 or of order 3 ,就是这个问题, 相关知识点: 试题来源: 解析 解释这张图表示的是2次函数为0或者3次函数为0的多项式.就是做因式分解,然后分析形式比如(x+1)^2=0就是order of 2(x+1)^3=0,就是order of 3...
Answer to: Find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) 2 / 3, 4, square root 3 i...
a degree 3 polynomial that has zeros -1, 1 and 6 and in which the coefficient of x^2 is -12. 为你推荐: 特别推荐 猫从高处落下真的不会摔死吗? 你喝的水或是某个小行星上的? 你吃的突尼斯软籽石榴,是哪的? 你三四岁前的记忆去哪里呢? 等你来答 换一换 帮助更多人 ...