Answered: Given that - 8i is a zero, factor the…

Given that - 8i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f(x) = x4 + 9x³ + 78x² +576x + 896

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section: Chapter Questions

Problem 7PT: Find all zeros of the following polynomial functions, noting multiplicities. f(x)=(x3)3(3x1)(x1)2

See similar textbooks

Related questions

Q: Use partial fractions to evaluate the integral. 2x²-1 (4x-1)(x² +1) dx

A: see below the answer and calculation

Q: Question 1 Part A Complete the square for the quadratic f(x) = x² - 5x. ]× ›)²-([ f(x) = (x + ( […

Q: MULTIPLE CHOICE 1. Let f(x)=x-g(h(x)) where g(4) = 2, g'(4) = 3,h(3) = 4, and h' (3) = -2. Find ƒ'…

Q: 3 Given Cost and Revenue functions C(q) =q³-10q² +56q+5000 and R(q) = -3q² +2600q, what is the…

Q: dy If −5x² + y² = 5 then find at the point (2,-5) in simplest form. dx²

A: Given the equation: -5x^2+y^2=5

Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

Q: Let f (x) = √√x² +8. f'(x) = f'(2) = Number f"(x) = f" (2) = Number

Q: 260 EXERCISE Evaluate each of the following limits. 1. lim x ln x. 2-0 Ans. *0. 1. 3. lim x csc 2x.…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Can someone help with these questions. 1293/18 2881/67 43,928/25 The directions says if there is…

A: answer the following 1293/18 2881/67 43,928/25 further step given below

Q: Use the method of undetermined coefficients to solve the given equation. dy dx y +2→=5;2 X

Q: An isosceles triangle has an area of 100in^2, and the angle between the two equal sides is pie/6.…

A: Solution is done in step 2

Q: If-xy² + x² x² - 4 4 = -y³ and it is known 2 y² - 2x -2xy+3y², find all coordinate points on the…

Q: 105x2,5 x 2

Q: 1) Let f(x) = 2x + 1 and h(x) = 2x² + 4x + 1, find a function g(x) such that, Function Composition…

Q: Set up, but do not evaluate, an integral for the length of the curve. x = 3 sin(y), TT/2 1.12 (…

A: NOTE: Refresh your page if you can't see any equations. . the given curve is take derivative

Q: YEG Write the value of the underlined digit. 3 2.675 Lat 4 804.721 aco.lll

Q: Find Mx, My and (x, y) for the lamina of uniform density p bounded by the graphs of the equations. y…

Q: verify that the function. solution to the differential and find the y=c₁e-x + C₂ e 2x is a equation:…

A: Topic = Differential equation

Q: Sketch the graph of a function f having the given characteristics. (Select the correct graph.) f(0)…

A: Given query is to graph the function with indicated characteristics.

Q: Find the extreme values of g(x, y) = x² + y² + x²y on the circle x² + y² = 12 using the method of…

A: maximum value=28 minimum value=-4

Q: The total cost, in dollars, to produce q units is given by C(q) = 500 + 3q+q². Find C'(10).

Q: (a) Find the general solution to y"-6y' +9y=0. Enter your answer as y.... In your answer, use cj and…

A: The given differential equation is; y''-6y'+9y=0, y(0)=7, y'(0)=0.

Q: xy' - ( 1 + x ) y = xy2

A: xy' -1+xy=xy2

Q: Solve each quadratic equation to reveal the message below That makes 26x + 25-0 Much we have…

A: Given :(a) That makes :x2+26x+25=0(b) It is :15x2-3x=0(c) Happiness :x2+13x+12=0(d) Not how…

Q: If xy + 5y = 2 then find (-4, 2) in simplest form. d'y dx² at the point

Q: Solve the following initial value problem. Write your answers clearly and I will give you a like!…

A: We know that integration of xn is xn+1/n+1+C. And integration of 1/x is lnx. Here i attached the…

Q: Let A = {2,7,8}, B = {-1,2,6,7}, C = {2,4,6,8,10}, D = {{7},{2,4},{6},2 ,8} List each set starting…

Q: 2y+9x² find all -2x-1' coordinate points on the curve where X x = -1 and the line tangent to the…

A: solution is given below.. one point lie on curve at which slope of tangent line is 1.

Q: Given the equation below, find dy dx Y dy dx = 5x5 + 2x¹0y + y³ 5x4 (5+4x5y) 2x10 + 3y² Now, find…

Q: On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 474…

A: We need to find probability.

Q: The equation 5x2 = cy is the general solution of? A. x/2y B. y' = 2xy C. y' = y/2x D. y' = 2y/x

Q: Find the derivative of each of the following functions: (image 1)

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

Q: Use Implicit Differentiation to find f'(1/4) at (1/4 , 1/4) where y=f(x) and sin^2 (pix) +…

Q: -4 -3 -2 -1 Clear All Draw: 4 3 2 1 -1 -2 -3 -5- ✓ 1 2 3 4 E 5 3 4 te: Be sure to include closed or…

A: Topic:- calculus

Q: If 4x² + 5x + xy 2 and y(2)= differentiation. = Question Help: Message instructor 12, find y' (2) by…

Q: The scalar projection of the vector onto the vector is: 6 10 3√5 10 7 1123 BC CC DC

A: See the details solution in below

Q: x+y = y² ln x dx

Q: Finding the partial derivatives of z by implicit differentiation X² + y² + z² =25 SOLVE THE PROBLEM…

A: Given, x2+y2+z2=25

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 4t, y =…

Q: Differentiate the function. R(q) = 7 lnq

Q: 6. dx-2xcsc dy 11 2y - 2x³ cos 2y sec 2y a. b. C. d. e. f. g. h. i. j. C = ln 1 y² = ex s = [C(x -…

A: We know, 2sinx*cosx=sin2x csc2mx-cot2mx=1, for any real m ∫csc2mxdx=-cotmxm ∫cotxdx=ln|sinx|…

Q: -4 y 8 5 (0, 3) a. x ≤ 5, y ≤ 6 b. x ≥ 5, y ≤ 6 c. x ≤ 5, y ≥ 6 d. x ≥ 5, y ≥ 6 -1 (0, 6) (5, 6)…

A: The answer is in step 2

Q: f(x) = √√x and g(x) = x² − 4x, find the following and their domains:

A: Given function:- fx=x and gx=x2-4x

Q: Consider the function f(x) = 4(3)ª Construct a table of values for this function. X -2 -1 f(x)

Q: simplify using exponent rules a. (2x/5)-3 b. square root of x X4 over x to the power of 2

Q: Consider the following. u = (3,9), v = (6, 2) (a) Find the projection of u onto v. 54 18 10' 10 (b)…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

Q: Find the total area of the shaded regions. x²-x²-8x 6 -2 4 -8 -10 (-3,-12) -12 -14- (3,-6) -x

Q: Write the product as a sum: 18 cos(35u) cos(12u) =

Question

Given that - 8i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable.
f(x) = x² + 9x³ + 78x² +576x + 896

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find all zeros of the following polynomial functions, noting multiplicities. f(x)=(x3)3(3x1)(x1)2
Find the zeros of each polynomial function. a. f(x)=x3x22x b. f(x)=2x4+2x2
Determine the and behavior of the polynomial function. f(x)=2x2(43x5x2)
Use synthetic division to show that x=3 is a zero of the function f(x)=2x35x26x+15. Use the result to factor the polynomial function completely and list all the zeros of the function.