polynomial ring part 8 9 Let f(x) = x' + 2x + 4 and g(x)= 3x + 2 in Z,[x]. Then, upon dividing f(x) byg(x), we get 8- The remainder polynomial is:a) 2764b) 8.c) 0.d) 2.39- The polynomial 2r + 1 has a multiplicative inverse in Z[x] equals to:a) z+1b) 1+2xc) *+1d) Noneb)

Answered: Image /qna-images/answer/bb46cdab-93d7-44a1-890a-210ef4ff3b3d.jpg

Answered: 8- The remainder polynomial is: a) b)…

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

Similar questions

P Shift z || x 11 - Il 1A Chapter 6 Stage 1 Questions 13. Arrange the terms of the following polynomials in descending and ascending powers of y. (a) 8 + 2y – 5y² (b) 3y – 6y - y 14. Arrange the terms of the following polynomials in descending and ascending powers of a. (a) 9a? - 4a+2-a (b) -7a-3 + a' + 5a? Demonstration 5 ? Practice 5 Find the value of the polynomial -5x² - 4x whe Find the value of the polynomial x - x + 9 when x=-4. x =-3. Solution When x =-3, the value of the polynomial = (-3)2 – (-3) + 9 = 9 + 3 +9
page 26 PAPER 1 5. FACTORS OF POLYNOMIALS 12015 and a remainder of 5 when 2 The polynomial f(x)= ar-15x²+bx-2 has a factor of 2x-1 divided by (i) Show that b-8 and find the value of a. (ii) Using the values of a and b from part (1), express f(x) in the form (2x-1) g(x), where g(x) is a quadratic factor to be found. (iii) Show that the equation f(x) = 0 has only one real root. KS VENT
Prove the identity (22) = 2(2) + n² two different ways: (1) direct algebraic proof (2) combinatorial proof
sinny 5-limy-1 у-1
PAPER 1 5. FACTORS OF POLYNOMIALS page 25 F2015 1 The polynomial p(x) = ax³ + bx²-3x-4 has a factor of 2x-1 and leaves a remainder of 10 when divided by x + 2. (i) Show that a = 10 and find the value of b. (ii) Given that p(x) = (2x - 1)(x² +sx+t), find the value of each of the integers r, s and t. (iii) Hence find the exact solutions of p(x) = 0. 2 AEL KS VEN
PAPER 1 5. FACTORS OF POLYNOMIALS page 13 J2010 2 The expression 6x + ax? – (a + 1)x + b has a remainder of 15 when divided by x+2 and a remainder of 24 when divided by x+ 1. Show that a = 8 and find the value of b.
property have these polynomials? 7. If Cn(x) 2T,(x/2) then C, Cn-2. These polynomials are orthogonal with respect to the inner product f (x)g(x) (4 – x²) -1/2 dx.
Using Navile's algorithm solve part b and c within 30 minutes I will give you thumps up
Using MOSA find the polynomials that will approximate the solution to: y' = x2 + y; y(1)=1. y1(x) ______________ a) y= 1-x+1/6 x3 b) y=-1/2+x+1/2 x2 c) y=-1/3+2x+1/6 x2 d) y=-1+x+1/3 x3 y1(2) _______________ a) 4.33 b) 4.67 c) 3.33 d) 3.67 y2(x) ______________ a) y= 1.083-x+ 0.5x2 + 0.333x3 b)y= 1.083-x+ 0.5x2 + 0.333x3 +0.0833x4 c) y= 1.083-x+ 2.5x2 + 0.333x3 +1.0833x4 d) y= 1.083-x+ 2.5x2 + 1.333x3 y2(2) _______________ a) 5.033 b) 5.333 c) 5.083 d) 5.667
A rectangle is inscribed in a triangle as shown. Let x denote the base of the rectangle and let y denote the height of the rectangle. Express the area A of the rectangle in terms of x and y. A = Express the area A of the rectangle in terms of x. A = (0,6) (x,y) (0,0) (6,0) Find the dimensions x and y of the inscribed rectangle with the largest area. X = y =

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

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…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

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…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

8- The remainder polynomial is: a) b) 8. c) 0. d) 2. O »)