Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
polyponind tai dided by is 2x +3 o what is the remainder is divide d x-4 the remainde when by e-2 ?

polyponind tai dided by is 2x +3 o what is the remainder is divide d x-4 the remainde when by e-2 ?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
when the remainde anpaluomial to)à divided b x-e 2x +3 o what s the remainder hy e-2っ 13 X-4. when ic divided
Transcribed Image Text:when the remainde anpaluomial to)à divided b x-e 2x +3 o what s the remainder hy e-2っ 13 X-4. when ic divided
Expert Solution
Step 1

We have:

Dividend=Divisor×Quotient+Remainder

Now, we are given Px is divided by x2-4 then the remainder is 2x+3

Therefore, 

Px=x2-4Q+2x+3                    ...(1)

Now, we need to find the remainder when Px is divided by x-2

When a polynomial is divided by a linear polynomial then the remainder is 0 when the linear polynomial is a factor of the given polynomial. 

Otherwise, there is a remainder.

For instance, if x-a divides polynomial fx completely then the remainder is 0. This means "a" is a root of fx and fa=0

If it does not divide completely then the remainder obtained is fa

So, we say that fa is the remainder.

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS