46x+X-)(x+K) (X-2practice.flatworldknowledge.comCengage Digital LearningCollege Algebra | FlatWorld Viewery=x4-14x3-24x2+2x-16 - Wolfra...MATH 112-04 Minnesota State U...Courses > MATH 112-04 - Minnesota State UniversityChapter 4.5Accessibility5Full Screen4i is a zero.3-10a2+48x-64 given that 4Find all the zeros of f(x)If the answer contains an imaginary part, enter the answer in the standard form of a complex number, a + bi. If a or b is not an integer, enter itexactly, as a radical or fraction in simplest form. Do not enter a decimal approximation. If there are multiple zeros, separate the answers withcommas ().x = 4 -4i, 4 +4tCheck Answer

Question
Asked Oct 30, 2019
1 views

How do I do this? I tried synthetic division but I get a remainder so I dont think I can use the quadratic formula, how do you do this?

46x+X-)
(x+K) (X-2
practice.flatworldknowledge.com
Cengage Digital Learning
College Algebra | FlatWorld Viewer
y=x4-14x3-24x2+2x-16 - Wolfra...
MATH 112-04 Minnesota State U...
Courses > MATH 112-04 - Minnesota State University
Chapter 4.5
Accessibility
5Full Screen
4i is a zero.
3-10a2+48x-64 given that 4
Find all the zeros of f(x)
If the answer contains an imaginary part, enter the answer in the standard form of a complex number, a + bi. If a or b is not an integer, enter it
exactly, as a radical or fraction in simplest form. Do not enter a decimal approximation. If there are multiple zeros, separate the answers with
commas ().
x = 4 -4i, 4 +4t
Check Answer
help_outline

Image Transcriptionclose

46x+X-) (x+K) (X-2 practice.flatworldknowledge.com Cengage Digital Learning College Algebra | FlatWorld Viewer y=x4-14x3-24x2+2x-16 - Wolfra... MATH 112-04 Minnesota State U... Courses > MATH 112-04 - Minnesota State University Chapter 4.5 Accessibility 5Full Screen 4i is a zero. 3-10a2+48x-64 given that 4 Find all the zeros of f(x) If the answer contains an imaginary part, enter the answer in the standard form of a complex number, a + bi. If a or b is not an integer, enter it exactly, as a radical or fraction in simplest form. Do not enter a decimal approximation. If there are multiple zeros, separate the answers with commas (). x = 4 -4i, 4 +4t Check Answer

fullscreen
check_circle

Expert Answer

Step 1

Given function

 

help_outline

Image Transcriptionclose

f (x)x3-10x2 +48x-64

fullscreen
Step 2

The equation is cubic equation hence, three zeros must be obtain

 so, to obtain zeros take hit and trial method

In hit and trial method put the v...

help_outline

Image Transcriptionclose

Put x 1 in function f(1)1-10x12+48x1-64=25 hence x 1is not a zero of function put x-2 f(2)-2'-10x22+48x2-64=0 hence x 2is a zero of function Qcomplex zeros are always in comlex conjugate pair that is if one zero as atib then other must be a-ib so, according to questi on one zero is 4-4i then other must be 4+4i

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra