In problem 17, use the respective polynomial to answer the following: (a) use Descartes' rule of signsto determine the possible combination of positive and negative zeros; (b) use the rational zerotheorem to determine the possible rational zeros of the polynomial.asloff (der17) P(x) = x² + 3x³3x²7x+62910jqmy2A JsoiheV (peraetotqmyas isinositol (beistotamiyes insi2 (ber(dos-y bns -x snimetab (s) :gniwollot srit towans of svods ef amsidong ni noitonul lanoits srit sau (OSnoltonut isnoitet edt dqsig of noitsmolni auoivenq sd sau (d) atqomatnietsin oy borldsmsvarbirlw 17a) possible positive rational zeros: le17a) possible negative rational zeros:__rot-ius17b) list of possible rational zeros:

Answered: Image /qna-images/answer/313c5917-a751-439f-a0ef-70c170bd559a.jpg

Answered: In problem 17, use the respective…

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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a . . . . . For studying before test, pelase provide solutions of synthetic division. TYSM
Need help with a, b, and c.
Only B and D.
11) Tell the maximum number of zeros that the polynomial function may have. Then use Descartes' Rule of Signs to determine how many positive and how many negative zeros the polynomial function may have. Do not attempt to find the zeros. f (x) = 5x* – 3x³ + 2x² + 5x – 1
Question #8 For polynomial P(x)=x²-3x²-4, please do the following. a) list all potential rational roots/zeros of the polynomial using Rational Roots Theorem. Final Answer b) fully factor polynomial into rational (integers, fractions), irrational (√) &/or imaginary (1) factors. Final Answer c) list all actual roots/zeros of polynomial based on factorization in (b). Final Answer
Question #5 For polynomial P(x) = 15x³ + 14x² − 3x − 2, please do the following. a) list all potential rational roots/zeros of the polynomial using Rational Roots Theorem. Final Answer b) fully factor polynomial into rational (integers, fractions), irrational (√) &/or imaginary (i) factors. Final Answer c) list all actual roots/zeros of polynomial based on factorization in (b). Final Answer Dag 5 of 11
3. For the function f(x) = 2x4 – 5x3 + 9x² + x – 15: a. State the degree of the polynomial b. State the number of zeros the polynomial function will have. c. Use the Rational Zero Theorem to find all of the possible rational zeros d. Look at the graph or Table on a graphing calculator to determine which numbers on the list of rational zeros are real zeros indicated by the x-intercepts of the graph. In the space below, use synthetic division to verify one rational zero. Note: If the division remainder is zero, the number divided is a zero of the function. е. f. Find all remaining zeros. (Show work!) Note: Use the reduced polynomial (the quotient from the division) to continue the search for zeros © If the degree of the reduced polynomial is higher than 2, continue the synthetic division process with another real zero. (Remember: a number may be a multiple zero – i.e. occur more than once ) © Whenever the reduced polynomial is quadratic, the zeros can be found by using methods for…
I need help finding a faster way to find all the zeros. I found all the possible zeros and I think plugging it in one by one is very time consuming.
5. (a) Find all the zeros of the polynomial function P(x)=x² +6x+20. Use a graph to help get started. Note: At least one of the zeros will be a complex number. (b) Write the complete factorization of P.

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