How do I just look at the graph and figure out which rational zeros are actually zero quickly? 34211. A polynomial function P and its graph are given.P(x) = 5x -x² - 5x + 1%3DFrom the graph, determine which of the possible rational zeros actually dw 15oturn out to be zeros.

Answered: Image /qna-images/answer/17e89c3c-3f8e-4f22-9ee0-9d85517f822a.jpg

11. A polynomial function P and its graph are given. P(x)= 5x³ -x²- 5x+1 From the graph, determine which of the possible rational zeros actually dw 15bn turn out to be zeros. leu oo bobinomoo ols isanne 1 J6 Rooin guuslemu cod asd bu

11. A polynomial function P and its graph are given. P(x)= 5x³ -x²- 5x+1 From the graph, determine which of the possible rational zeros actually dw 15bn turn out to be zeros. leu oo bobinomoo ols isanne 1 J6 Rooin guuslemu cod asd bu

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 2CC: (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c...

See similar textbooks

Related questions

Q: 2.If a third degree polynomial has a lone x-intercept at x=a,discuss what this implies about the…

Q: 12) List the potential rational zeros of the polynomial function. Do not find the zeros. f (x) =…

A: Since given function is f(x) = -3x2-2x+8 Constant term =8 leading coefficient(coefficient of x2) =-3…

Q: 4. Which polynomial function in factored form represents the given A. y = (x + 2) (x + 1) (x - 1) B.…

Q: Let p(x) be a cubic polynomial with p(7) 0 and p(14) < 0. What can you say about the number and…

A: In this question we have to find the number and locations of zeroes. Note: As per our policy we are…

Q: Suppose we want to find the unique second degree polynomial functionp(x) such thatp(−2) =−1,p(2)…

A: Given :p(-2) =-1p(2) = -1p(3) = -6General form of polynomial is p(x) = Ax2 + Bx + CTherefore;p(-2)…

Q: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A: Other zeros of the 5 degree polynomial are to be found.

Q: If c is a zero of the polynomial P, then consider the following. (a) P(c) = ? -1, 0, 1, c, or…

A: Given c is zero of the polynomial.

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of eac (i) (2.x…

A: Put polynomial =0

Q: question 5

A: The lead term of this polynomial is -x^7. So, f(x) will behave as -x^7 does on the ends.

Q: 2. If a third degree polynomial has a lone x-intercept at x = a , discuss what this implies about…

Q: Which of the following statements are true regarding thegraph of the cubic polynomial f1x2 = x3 +…

A: The given cubic polynomial is fx=x3+bx2+cx+d. a) It is true as it will have only one point cutting…

Q: 2. Find the polynomial f (x) of degree 4 whose graph is shown. Leave your answer in factored form.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2x)(x2−5) is graphed in the coordinate plane. Which statement about the graph is correct? A. As…

A: The behaviour of polynomials for large x depends of the highest power of the polynomial.

Q: The polynomial p(x) = (3 – 2x) (x – 5) is graphed in the coordinate plane. Which statement about the…

A: Given polynomial is : p(x) = (3 - 2x) (x2 - 5 ).

Q: The polynomial p(x) = (3 – 2x) (x – 5) is graphed in the coordinate plane. Which statement about the…

A: px=3-2xx2-5⇒px=3x2-5-2xx2-5⇒px=3x2-15-2x3+10x⇒px=-2x3+3x2+10x-15 The end behavior depends on the…

Q: 2.33 Let p(r) = x4 + x³ -- 2x2 + x + 1. Prove that the polynomial equation p(x) = 0 has a root in…

Q: The graph of a polynomial function will appear to bounce off the x-axis at zeros that are of an even…

A: Given: y=(x – 3)2(x + 5)3 at x=3 To check: The graph of a polynomial function will appear to bounce…

Q: Suppose a polynomial function of degree 4 with rational coefficients has the following given numbers…

Q: 42. If the coefficients of a polynomial function are all positive,then the polynomial has no…

Q: 4. The possible equation of polynomial function for the following graph is a) f(x) - (х-2)(х+3)(x-5)…

A: Graph of the polynomial function is given, we have to find its equation. Note: Multiple questions…

Q: 1. a) Create an equation for a polynomial function, P(x), of degree 3 or higher, in factored form…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: Suppose that R(x) is a polynomial of degree 11 whose coefficients are real numbers. Also, suppose…

A: Suppose that R(x) is a polynomial of degree 11 whose coefficients are real numbers. Also, suppose…

Q: #1: WITHOUT graphing, identify the end behavior of the polynomial function. 4] y = 6 – 2x – 4x² +…

A: topic ,- polynomials

Q: Give a possible formula of minimum degree for the polynomial / (x) in the graph BeloW. y. 16 8. -16…

Q: 9) Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given…

A: Here the given function gx=3x3-10x+9 ; -3, -2 The given function is continuous in the given…

Q: 1. Give a polynomial function that only has x intercepts of 2, 4, and -1 with a y intercept of -8.

Q: 7. The following is a graph of a polynomial of degree 3, h. The leading coefficient of h is 1. 3 74…

Q: If the end behavior of a graph of the polynomial function rises both to the lef and to the right,…

A: Given

Q: 12) List the potential rational zeros of the polynomial function. Do not find the zeros. f(x) = -2x2…

A: To find: All the potential zeroes of the polynomial function.

Q: 3. If c is a zero of the polynomial P, then (a) P(c) = (b) x - c is a of P(x). (c) c is a(n).…

Q: Here is the graph of a polynomial function with degree 4. Select all of the statements that are true…

A: Given, Graph

Q: Suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose…

Q: 5. Use end behaviours, turning points, and zeros to determine which graph represents the polynomial…

Q: _5. A demographer predicts that the population, P, of a town t years from now can be modeled by the…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 13 What are the zeros of a polynomial that is factored as f(x) = (x - 4)(x- 1)(x + 3)? А. (0, — 4).…

Q: 4. Consider the polynomial f(x) 1234(x + 5)²(x² + 4)(x³ + 8). (a) What is the degree of f? How can…

A: Given f(x)=1234x+52x2+4x3+8

Q: Suppose that R(x) is a polynomial of degree 15 whose coefficients are real numbers. Also, suppose…

Q: If a third degree polynomial has a lone x-intercept at x = a , discuss what this implies about the…

A: Topic : Equations

Q: Graph the polynomial P1x2  1x  223  27, showing clearly all x- and y-intercepts

A: P(x)=-(x+2)3+27

Q: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A: Important math fact: Non-real zeroes of polynomial functions always come in conjugate pairs. The…

Q: 5) Write a rule for the 6th degree polynomial 8(x) pictured at right, whose only roots are -5, -2,…

Q: 2. a) Give 3 different reasons why the following graph cannot be the the graph of the polynomial…

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: 1. If the polynomial function

A: If the polynomial function P(x)=anxn+an-1xn-1+...+a1x+a0 has integer coefficients, then the only…

Q: Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 9 whose coefficients are real numbers. Also suppose that…

Q: Use the rational zero theorem to find all possible rational zeros for the polynomial function fx) =x…

Q: 1. Construct a polynomial function f(x) that might have the given graph shown. ( More than one…

A: For the given graph we, need to construct polynomial function fx

Q: Beth claims that if a graph of a polynomial has zeros at (-5,0) and (3, 0), then the factored form…

Q: 3. Consider the polynomial function p given by p(x) = 5x°+ 8x- 3x +1. Evaluate the function at 3 X =…

Q: If c is a zero of the polynomial P, then consider the following. (a) P(c) = (? +) (b) x - c is a (…

Q: 21 Q: If a, B are the zeros of the polynomial f(x)=2x +5x+k satisfying the relation a + B+ aß = %D 4…

Question

100%

How do I just look at the graph and figure out which rational zeros are actually zero quickly?

342
11. A polynomial function P and its graph are given.
P(x) = 5x -x² - 5x + 1
%3D
From the graph, determine which of the possible rational zeros actually dw 15o
turn out to be zeros.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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.
The polynomial P(x)=5x2(x4)3(x+7) has degree ___________. It has zeros 0, 4, and ______________. The zero has multiplicity _________
A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is counted m times.
Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.
Given the following information about a polynomial function, find the function. It has a zero of multiplicity 3 at x=12 and another zero at x=3 . It contains the point (1,8).