a. Find a polynomial of degree 4 that has /2 + /7 as a root. That is, find integersa, b, c, d, and e such that x = v2+ V7 is a solution to the equation:ax* + bx³ + cx² + dx + e = 0.b. Find all roots of this polynomial.c. Given two distinct positive integers m and n , what can you conclude aboutpolynomials that have /m + yñ as a root?

For (a), We need to find the polynomial of degree 4 that has √2 + √7 as a root. So,

Answered: a. Find a polynomial of degree 4 that…

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

6. Which polynomials have 4 roots? Select all that apply. 3x* – 81 = 0 4x + 4x + 4 = 0 2x4 + 3x? + 4x = 0 x* + 5x – 10 = 0
What is the constant term of the polynomial 5xº - 4x® + 2x5 + x³ + x? D. 0 A. 5 В. 8 С. 1
Let z1 and z, be the roots of the polynomial p(z) = 2z2 + 4az + 186², where a, b e C and b # 0. Show that if |21| = |22| then is a real number. b
College of Natural and Computational Science 1. Let p(x) =x'+2x-10x+22x-15 Given that I+V2i is a zero. Then find the 2. Let (x-2), (x – 3) and (x + 4) are factors of the polynomial x + ax+ bx+c 1hen Basic Mathematics for Social Sciences (Math 1011) AL FO Wolaita Sodo University Department of Mathematics Individual Assigament other zero of p(x). find the values of a, b and c. 3. Draw the graph of the following rational function a) f(x) = b) f(x) = x2-x-2 -5x+6x %3D x2-x-6 x+x-2 4. Find the inverse of f(x)=e-) 5. Find the domain and range of the following functions. a) f(x)=1+8x-2x' b) f(x) = Vx² - 6x+8 c) S(x) = x-5x +6 [3x-5. x<1 -1, x21 b) S(1) 7. Solve log,(2 log3(1+ log2(1+3 log ))) == 6. Given f(x) = Find a) f(-3) c) f(6) 3f(x)+1 f(x)+3 x-1 8. If f is a real function defined by f(x)= Show that f(2x) = x+1 9. Let f(x)= 2". Show that f(x+ 3) = 8f (x). 10. Sketch the graph of the given function and identify the domain, range, intercepts and asymptotes. a) f(x)= log, (x-3) b) f(x)=-3+…
17. How many times is (x – 1) a factor of the polynomial function g(x) = x* – 6x² + 8x – 3? A. None В. One С. Two D. Three E. Four
9. Find all real zeroes of the function p(x)= 6x' +17x – 26x +8 Solution: https://youtu.be/XBNPBY4SAB8 10. Construct a polynomial with real coefficients that has zeroes 2 and 3+i. Solution: https://youtu.be/J9c9czrqFJA 11. Find all real/complex zeroes and write the polynomial in factored form. p(x) = 3x* – 29x +101x² – 119x – 52 Solution: https://youtu.be/78Tdn3Y0dj4 x- 4 12. Express the domain in interval notation: R(x)=- x+7 %3D
please answer with details..
3. Which of the following polynomial equations has solutions 0 and -7? A (z + 7) = 0 (2 - 7) = 0 2(2 - 7) 0 2? (r 7) = 0 (r+7)- 0 Save/Exit
1

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