what does it mean when two of the zeros of a polynomial function are complex conjugates?
18,761 results

algebra two
what does it mean when two of the zeros of a polynomial function are complex conjugates? 
HELP!!!!!! ASAP
what does it mean when two of the zeros of a polynomial function are complex conjugates? 
Calculus
Score for Question 2: ___ of 40 points) For the polynomial (x)=x^55x^4+12x^324x^2+32x16 , answer the following questions. Show all of your work. How many zeros does the function have over the set of complex numbers? What is the maximum number of local extrema (maxima or ... 
HELP!!!!!! ASAP
which function below if either has zeros that are complex conjugates? P(x)=x^47x^327x^2+63x+81 H(x)=x^4x^2+25x25 
algebra two
which function below, if either, has zeros that are complex conjugates? P(x)= X^47x^327x^2+63x+81 H(x)=x^3x^2+25x25 
functions
a) find the zeros of t(x) =2x^2 + ix + 3. b) The zeros are not complex conjugates. Explain why this does not contradict with the Conjugate Zeros Theorem 
Algebra
I need help with a few questions, please explain. 1. Write a polynomial function in standard form with zeros 1, 1, 6. 2. Find the roots of the equation x^3 – 3x^2 + x + 5 3. Describe the number and type of roots for the polynomial (how many real and complex?). x^3 + 5x^2... 
Find the complex zeros
Find the complex zeros of the polynomial function. Write f in the factored form. f(x)=x^33x^2+7x5 f(x)= 
Algebra
Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^32x^2+7x+6. 3)Find all of the rational zeros of f(x)= 4x^33x^2... 
Math
Find all complex zeros for the following polynomial function. Please show all of your work. f(x) = x^4  91x^2  900 Hi, I need help... I'm not understanding this complex zero.. 
precalculus
find the complex zeros of the polynomial function. write F in the factored form. f(X)=x^37x^2+20x24 use the complex zeros to write f in factored form. f(x)= (reduce fractions and simplify roots) 
algebra
Find the complex zeros of the polynomial function. Write f in factored form. F(x)=x^38x^2+29x52 Use the complex zeros to write f in factored form F(x)=____(reduce fractions and simplify roots) 
Precalculus
There is at least one polynomial with real functions with 9+i as its only nonreal zero. A. The statement is false, because the Fundamental Theorem of Algebra dictates that there must be n complex zeros for a polynomial of degree n. B.The statement is true. If 9 plus ... 
college algebra
find the complex zeros of the polynomial function. write f in factored form. use complex zeros to write f in factored form f(x)= x^36x^2+21x26 
Polynomial Function
Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 I got: f(x)=4^3+12x^24x+12 3.n=3;4 and i zeros;f(3)=60 I got:f(x)=6x^3+24x^2+6x+24 
Algebra II
Find the complex zeros of the polynomial function: x4+5x2+4 
Algebra II
Write the simplest polynomial function with the zeros 2i, square root of 5, and 2. I know that the conjugates are 2+i and the square root of five, but when I multiply it comes out wrong. not sure A toy rocket is launched from the ground level with an initial vertical ... 
calculus
Find the complex zeros of the polynomial function. F(x)=5x^416x^322x^2+200x39 
algebra
find all complex zeros for the following polynomial function please show all your work f(x) = x^3  125 ???????? 
math
find complex zeros of the polynomial function. put f in factored form. f(x)=x^36x^2+21x26 
math
Find the complex zeros of the polynomial function, and write f in factored form: f(x)= x^3  8x^2 + 30x  36 
Algebra
Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^45x^320x^2+115x52 
Algebra
Find the complex zeros of the following polynomial function. Write f in the factored form. F(x)=2x^45x^320x^2+115x52 
college algebra
find the complex zeros of the polynomial function. write f in factored form. f(x)=x^310x^2+37x52 
calculus
find the complex zeros of the polynomial function. write f in factored form. f(x)=x^310x^2+42x72 please show work. 
calculusplease help!!
find the complete zeros of the polynomial function. Write f in factored form. f(x)=3x^410x^312x^2+122x39 **Use the complex zeros to write f in factored form.** f(x)= Please show work 
calculus
Find the complex zeros of the polynomial function. Write f in factored form. f(x)=3x^410x^312x^2+122x39 Please show wrok, I do not understand how to do this. 
Algebra
Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28 
MathPolynomials/Zeros
How do I find complex zeros in a an equation if the equation doesn't have the + or  value at the end can th ecomplex zero(s) be made up? I'm getting really confused with complex zeros well zeros in general 
algebra
Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^49x^341x^2+13x+6 if more than one zero, separate with commas. Write exact values, not decimal ... 
algebra
Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function g(x)=5x©ù28©ø48x©÷8x+7 if more than one zero, separate with commas. Write exact values, not decimal ... 
Use the rational zeros theorem
Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28 
Polynomial Function
Could you help me with the following problem, I don't understand how to do it. Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 
college algebra
use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^38x^231x22 
pre calculus
use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=x^4+2x^37x^28x+12 I am totally lost, please help? 
algebra
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)= x^4+6x^311x^224x+28 Molon 
calculus
use rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^38x^231x22 **please show work** 
PreCalc
A polynomial function f(x) with real coefficients has the given degree, zeros, and solution point. Degree: 3 Zeros: 2,2+2√2i Solution Point: f(−1) = −68 (a) Write the function in completely factored form. (b) Write the function in polynomial form. Help Please my teacher... 
College Algebra
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=2x^3x^2+2x1 
calculuscan someone please help me with this ques
Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^33x^2+16x48 I put: x^2(x3)+16(x=3) (x3)(x^2+16) For zeros: x3=0 x=0 **My teacher stated check the equation solution again. What is the value for x and hence what is the zero for the ... 
Math
What does the degree of a polynomial expression tell you about its related polynomial function? Explain your thinking. Give an example of a polynomial expression of degree three. Provide information regarding the graph and zeros of the related polynomial function. 
College algebra
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers f(x)=9x^4+28x^3+66x^2+196x+21 Find the real zeros of f Use the real zeros to factor f f(x)= 
Math
A polynomial function with rational coefficients has the following zeros. Find all additional zeros. 2, 2 + ã10 
college algebra
use rational zeros theorem to find all the real zeros in the polynomial function. use zeros to factor f over real numbers. f(x)=x^3+10x^213x22 find real zeros of f? use real zeros to factor f? 
Algebra
Suppose that a polynomial function of degree 5 with rational coefficients has 6, −2+4i, 4−sqrt2 as zeros. Find the other zeros. Thank you! 
College algebra
Use the rationals theorem to find all the zeros of the polynomial function. Use the zeros to factor f over the real numbers, F(x)=7x^3x^2+7x1 
Precalculus
Suppose that a polynomial function of degree 4 with rational coefficients has i and (3 + square root of 3)as zeros find the other zeros 
algebra
p(x)=x^3+2x^23x+20 one of this functions zeros is 4 When using synthetic division to find all the zeros of a polynomial function, would you plug in 4 or 4 into the actual equation? 
preap Algebra 2
write a polynomial function f of least degree that has the rational coefficients, a leading coefficient of 1, and the given zeros. Given zeros: 2,2,1,3, sqrt 11 
College algebra
Use the rationals theorem to find all the zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^32x^213x10 x= 
Pre Calculus
1. Find all rational zeros of the polynomial. Then determine any irrational zeros, and factor the polynomial completely. 3x^411x^3+5x^2+3x 2. Find the polynomial with leading coefficient 1 that has a degree of 4, a zero of multiplicity 2 at x=1 and a zero at x=2+i 
Precalculus
Suppose that a polynomial function of degree 4 with rational coefficients has i and (3 + square root of 3)as zeros find the other zeros show work please 
college algebra
use the rational zeros theorem to find all the real zeros of the polynomial function,. use the zeros to factor f over the real numbers. f(x)=11x^3x^2+11x1 please show all work 
PRECALC
find all the real and complex zeros of the polynomial P(x)=x^4 2x^3 2x^22x3 
Algebra
Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
algebra
Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
algebra
Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
Rational Zeros
List all possible rational zeros for the polynomial below. Find all real zeros of the polynomial and factor f(x)=2x^4+19x^3+37x^255x75 
Algebra
Consider the polynomial: f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
Math
Consider the polynomial f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
Algebra
Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 I got: f(x)=4^3+12x^24x+12 3.n=3;4 and i zeros;f(3)=60 I got:f(x)=6x^3+24x^2+6x+24 
math
If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial can have? What is the greatest number M ... 
math
If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial can have? What is the greatest number M ... 
math
If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial can have? What is the greatest number M ... 
rational zeros theorem
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=25x^4+26x^3+126x^2+130x+5 Find the real zeros x= Use the real zeros to factor f f(x)= 
Math
Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial. Degree: 6 Zeros: 6 + 13i^3, 8 + s^2i, 3  4i 
college algebra
1. solve the following logarithmic equation log_8(x+8)+log_8(x+7)=2 what is the exact solution 2.se the rational theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers. f(x)=4x^4+5x^3+9x^2+10x+2 a.find the real zeros of f... 
Finding polynomial from zeros
How to find the polynomial degree 2 and zeros are (1+i) & (1i) I would like to see the steps to solve this. Thanks. If those are the roots, then the following are factors: (x1i)(x1+i) 
Math Problem2
List all possible rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely. Please show all of your work. f(x) = 5x^4 – x^3  33x^2 – 43x – 16 
Algebra
find the complex zeros of the polynomial. Write f in factored form: F(x)= 2x^25x^320x^2+115x52=0 
algebra
use the rational zero theorem to list the potential rational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=2x^7x^5+8x^4+52 
pre cal
Use synthetic division to show that x is a solution of the thirddegree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3  28x  48 = 0 Value of x = 4 Please help!!Thank you 
PreCal(Please help)
Use synthetic division to show that x is a solution of the thirddegree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3  28x  48 = 0 Value of x = 4 Please help!!Thank you 
Math
f(x)=x644x^2+k. Find the values of k so thath the zeros of f satisfy the specified charachteristics. a.four real zeros b.two real zeros, each of multiplicity of two c.two real zeros and two complex zeros d.four complez zeros a.I don't know if this range goes for this or b. 1&... 
Math (Complex Numbers)
how does one go about solving something such as: conjugate(z+23i) = z+5+10i Conjugates of actual complex numbers are very simple, but the inclusion of z trips me up 
Math  Possible or Potential rational zeros
List all possible (or potential) rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely over the real numbers. Please show all of your work. f(x) = x^4  7x^3  3x^2 + 19x + 14 
Math
Use synthetic division to show that x is a solution of the thirddegree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3  28x  48 = 0 x=2 I have no idea how to start this problem!! 
potential rational zeros
list the potential rational zeros of the polynomial function, do not find the zeros. f(x)=x^55x^2+4x+3 
College Algebra
1.Give a quadratic function q(x) with a vertex of (1, 2). 2. Give a function h(x) which does not have an inverse function. 3. Give a polynomial function g(x) with zeros 1,2,3 4. Give an exponential function s(x) passing through (0,2) and (4,1). 5. Give a rational function R(x... 
calculusplease help!!
I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x) with real coefficients having the given degree ... 
algebra
List all possible or potential rational zeros for the polynomial below find all real zeros of the polynomial below and factor completely over the real numbers. f(x) x^4 + 10x^3 + 12x^2  58x + 35 Someone anyone????? 
pre cal
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3, 13, and 5 + 4i Urgently need help 
Precalc
The complex number 3 + 2i is one zero for a polynomial function. Which complex number must also be a zero for this function? 3 + 2i 3 + 2i 3  2i 3  2i I am very confused with what the question is exactly asking. Please help? Thanks 
algebra
Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; i;7+i Enter the polynomial f(x)=a(____) type expression using x as the variable 
algebra 2
Write a polynomial function that has the zeros 2, 2, and 1 and has a leading coefficient of 1. Then graph the function to show that 2, 2, and 1 are solutions. 
math
Find a polynomial f(x) with leading coefficient 1 and having the given degree and zeros. Each polynomial should be expanded from factored form, simplified and written in descending order of exponents on the variable. For example: (x+5)(x2) should be given as the answer x^2 + ... 
college algebra
form a polynomial f(x) with real coefficients having the given degree and zeros degree 4 zeros 5+3i;3 multiplicity 2 enter the polynomial f(x)=a?() 
Math Problem (please help)
Find all the zeros of the function. When there is an extended list of possible rational zeros, use a graphing utility to graph the function in order to discard any rational zeros that are obviously not zeros of the function. (Enter your answers as a commaseparated list.) f(x... 
Math
Multiply complex conjugates 
math
use the rational zero theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=4x^4+9x^3+30x^2+63x+14 I cant even find sample problems to help me figure this out. help me please? 
algebra
form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:3 +5i; 2 multiplicity 2 enter the polynomial f(x)=a(?) 
precalculus
form a polynomial f(x) with real coefficients having the given degree and zeros. degree 5; zeros 7; i;9+i enter the polynomial. f(x)=a(?) 
math
What is an example of a quintic polynomial function that has exactly four zeros? 
algebra
find zeros of a polynomial function 
math
What is an example of a quintic polynomial function that has exactly four zeros? 
math
what is an equation of a polynomial function that has zeros at 3 and 2? 
math
what is an equation of a polynomial function that has zeros at 3 and 2? 
algebra 2
What is the third–degree polynomial function such that f(0) = –18 and whose zeros are 1, 2, and 3 
Math
I just wanted to double check that I am correct. 1.Find the zeros for the function: f(x)= 4(x3)(x+2)(x4)^2 Zeros are: 3,2, 4(multiplicity 2) 2.Find the zeros for the function: f(x)= x^39x Zeros are: 0, 3, 3 
Use the rationals theorem
Use the rationals theorem to find all the zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=2x^3x^2+2x1