onsider a cyclic code C in R(2, 15) with the generator polynomial g(x) = 1 + x +x2 + x4 + x8. (Its distance is 5.) (a) Find the dimension of C.(b) Word w = 100000011101101 is received, assuming no more than 2 errors occur,find the error and repair it

onsider a cyclic code C in R(2, 15) with the generator polynomial g(x) = 1 + x +x2 + x4 + x8. (Its distance is 5.) (a) Find the dimension of C.(b) Word w = 100000011101101 is received, assuming no more than 2 errors occur,find the error and repair it

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3x²-27 Eric was asked to evaluate ²+7+12 x²-4x+3 ÷ when x 0, x = -5, and x = 2. To avoid having to evaluate four quadratic polynomials multiple times, Eric decided to simplify the expression before evaluating it for the first value of x. His work is shown below in blue. 3x-27 X-4213 3x²-27 = х+7х на x²+7x112 x²-4x+3 3(x²-4) (x+4x(x+1) (x+4)(x+3) (-1)(x+4) =3(x+3)(x-3)(x+4)(x+1) (x+4)(x+3)(x-x+4) =3(x-3)(x+1) (x+4)(x-1) Now substitute O for x in the simplified expression 3(x-3)XXN) (x+4)(x-1) 360-50+1) 3(-3x1)- - (0++)(0-1) Question 8 (2 points) Listen ་ 4(-D a. Evaluate the original expression for x = 0. Be sure to show all of your steps. Paragraph B I U~ A Lato Recom 19p... T Add a Fe Record Video 4 هی 20
Explain the determine blue
could you please show how u found the correct answer as well as showing each step for the problem.
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3x²-27 Eric was asked to evaluate ²+7+12 x²-4x+3 ÷ when x 0, x = -5, and x = 2. To avoid having to evaluate four quadratic polynomials multiple times, Eric decided to simplify the expression before evaluating it for the first value of x. His work is shown below in blue. 3x-27 X-4213 3x²-27 = х+7х на x²+7x112 x²-4x+3 3(x²-4) (x+4x(x+1) (x+4)(x+3) (-1)(x+4) =3(x+3)(x-3)(x+4)(x+1) (x+4)(x+3)(x-x+4) =3(x-3)(x+1) (x+4)(x-1) Now substitute O for x in the simplified expression 3(x-3)XXN) (x+4)(x-1) 360-50+1) 3(-3x1)- - (0++)(0-1) Question 8 (2 points) Listen ་ 4(-D a. Evaluate the original expression for x = 0. Be sure to show all of your steps. Paragraph B I U~ A Lato Recom 19p... T Add a Fe Record Video 4 هی 20
59697/variants/954782/take/3/ When the following polynomial is written in standard form, identify each characteristic of the polynomial. 6x² + 4x + 5x³+2 Leading Coefficient Degree Constant Number of terms 0 0 0 0 0 0 0 0 0 0 0 ......000000 1 of 12 Total Questions Answered © 2 b. 4 5 d. 3 All Changes Saved V 11:20 PM 2/14/2023
Q. 5) please show all work
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TH-124 X m wVU Math 124 - Quiz #6 Desmos | Graphing Calculator //kh-wvu.mobius.cloud/13/42/assignments/497/0 MReading Mode: Soc... Select all the following that ARE polynomial functions O y = 5 a2 +4 -8 +5 a8 O,- 5 V7 - 6 28 O y = 3 a3 +4 a8 – 3 x3 +3/8 O y = T+ V5 a + 8 - 1 „2 O y = 3 a3/8 + 5 a – a+4 O y = 3 x +8 O y = 3 O y = V7 3 -5 a3 +2 z O y = 5 28 5 23 O y = 2 23.4 - 4 x8 +x Submit Assignmen