Question

In: Math

Find a polynomial function P of the lowest possible​ degree, having real​ coefficients, a leading coefficient...

Find a polynomial function P of the lowest possible​ degree, having real​ coefficients, a leading coefficient of​ 1, and with the given zeros. 1+3i​, -1​, and 2?

Solutions

Expert Solution

milcah answered 2 years ago
Next > < Previous

Related Solutions

Prove that every polynomial having real coefficients and odd degree has a real root
  Problem: Prove that every polynomial having real coefficients and odd degree has a real root This is a problem from a chapter 5.4 'applications of connectedness' in a book 'Principles of Topology(by Croom)' So you should prove by using the connectedness concept in Topology, maybe.
1] Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are...
1] Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value. n=​3; 2 and 5i are zeros; f(1) = 52 f(x)= ? ​(Type an expression using x as the variable. Simplify your​ answer.) 2] Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it...
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using...
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. n= 4; -1,4, and 4+2i are zeros f(1)=-156
1. a) A monic polynomial is a polynomial which has leading coefficient 1. Find the real,...
1. a) A monic polynomial is a polynomial which has leading coefficient 1. Find the real, monic polynomial of the lowest possible degree which has zeros −1−i,−2i and 3i, and z is the variable. b) i) If we prove that if a, b and c are integers such that a|b and a|c then a|(b + c), what is the converse of this statement, and is it true? ii) Why is the statment “If it is Thursday, then I have a...
How to find the polynomial function with real coefficients, degree 5, zeros 1+i, -3, and 5,...
How to find the polynomial function with real coefficients, degree 5, zeros 1+i, -3, and 5, and P(0)=30 and P(4)= -70?
Below is the graph of a polynomial function f with real coefficients.
  Below is the graph of a polynomial function f with real coefficients. Use the graph to answer the following questions about f. All local extrema of fare shown in the graph. (a) The function f is increasing over which intervals? Choose all that apply.  (-∞ , -8) (-8, -5) (-8, -2) (-2, 3) (7, 9) (9, ∞) (b) The function f has local maxima at which x-values? If there is more than one value separate them with commas. (c) What...
Which of the following graphs best illustrates the graph of a fifth degree polynomial function whose leading coefficient is positive?
Which of the following graphs best illustrates the graph of a fifth degree polynomial function whose leading coefficient is positive?
5a. Write the equation of the polynomial with leading coefficient 3 that has degree 4, with...
5a. Write the equation of the polynomial with leading coefficient 3 that has degree 4, with x-intercepts at -2 and 1, both having a multiplicity of 2. b. Write the equation of the polynomial which goes through the following points. (-2,0),(-1,0),(5,0), and (0,10). c. (1+i) is a zero of f(x)=x^4 - 2x^3 - x^2+ 6x - 6. Find the other zeros Please show all the work. Expert and correct answers only.
What is the leading coefficient of the polynomial function f(x) = 2x+x³+4?
What is the leading coefficient of the polynomial function f(x) = 2x+x³+4?  
Find the Taylor polynomial of degree 2 centered at a = 1 for the function f(x)...
Find the Taylor polynomial of degree 2 centered at a = 1 for the function f(x) = e^(2x) . Use Taylor’s Inequality to estimate the accuracy of the approximation e^(2x) ≈ T2(x) when 0.7 ≤ x ≤ 1.3
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT