f(x)= x^4+6x^3+8x^2+15x+9 the possible rational zeroes.9. a. Use synthetic division to evaluate f(4). Show your work below.1.1.b. 1. Is 4 an upper bound on the real zeroes of f(x)?2. How doyouknow?c. 1. Is 4 a lower bound on the real zeroes of f(x)?know?2. How doyounher of nosit

Using the synthetic division We have to evaluate f(4)=? Given:- f(x)= x4+6x3+8x2+15x+9

Answered: = x^4+6x^3+8x^2+15x+9

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section: Chapter Questions

Problem 11CC

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Similar questions

Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6 w(x)=x+3x3+6x+9x (a) Which of these rational functions has a horizontal asymptote? (b) Which of these functions has a slant asymptote? (c) Which Of these functions has no vertical asymptote? (d) Which Of these functions has a "hole"? (e) What are the asymptotes of the function r(x) ? (f) Graph y =u(x) , showing clearly any asymptote and x- and y intercepts the function may have. (g) Use long division to find a polynomial P that has the same end behavior as t. graph both P and t on the same screen to verify that they have the sane end behavior.
Which of the following statements couldn't possibly be true about the polynomial function P? (a) P has degree 3, two local maxima, and two local minima. (b) P has degree 3 and no local maxima or minima. (c) P has degree 4, one local maximum, and no local minima.
Given the following information about a polynomial function, find the function. It has a double zero at x=3 and zeroes at x=1 and x=2 It’s y-intercept is (0,12).
Consider the rational function f(x)=x−4x2+2x+14 A: write a ratio of monomial expressions that best estimates the behavior of x−4x2+2x+14 as x→±∞ Simplify your answer as much as possible. Based on your answer to part (A), what happens to the value of f(x) as x→±∞? (Hint: now your answer should be a number, ∞, −∞, or "DNE".) As x→±∞, f(x)→ Based on your answer to part (1), what is the horizontal asymptote of f ? If no horizontal asymptote exists for f, enter "DNE". y=
Using long division, you can calculate that f(x)=(2x^(3)−10x^(2)+7x−20)/(2x^(2)+5)=Q(x)+((R(x))/(2x^(2)+5)). what is the quotient Q(x)? What is the remainder R(x)? From this you can conclude that y=f(x)y=f(x) has an oblique (or slant) asymptote given by the line with equation y=Q(x) because lim x→±∞ (R(x))/(2x^(2)+5)= ??????
Create a rational function that has the followingcharacteristics: crosses the x-axis at 3; touches the x-axisat - 2; one vertical asymptote, x = 1; and one horizontalasymptote, y = 2. Give your rational function to a fellowclassmate and ask for a written critique of your rationalfunction.
If the result of a polynomial division is 2x3 − 4x2 − 5x +23x + 2, make at least threedefinitive statements about the ???????? and the ??????? that is involved. Do you agree with the contention that the functions f(x) = x + 2 and g(x) =x2 − 4x − 2are the same in every respect. Provide evidence to support your position. Do you agree with the statement that “ cubic functions must have at least 1x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts.Provide evidence to support your position.
1. If the result of a polynomial division is 2x3 − 4x2 − 5x + 23 x + 2, make at least three definitive statements about the dividend and the divisor that is involved. 2. Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x2 − 4 x − 2 are the same in every respect. Provide evidence to support your position. 3. Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts. Provide evidence to support your position.

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