105Consider the graph of thepolynomial function shown.Based on the graph, is thedegree of the polynomial evenor odd? What is the sign of theleading coefficient?-5Use cursor to interact with graphThe degree is even, and the sign of the leading coefficient ispositiveThe degree is even, and the sign of the leading coefficient isnegativeThe degree is odd, and the sign of the leading coefficient ispositiveThe degree is odd, and the sign of the leading coefficient isnegative

We have to choose the correct option from the given options according to the given information

Answered: Conside polynor Based c degree or odd?…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 50E

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Similar questions

(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.
DISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q are the same. P(x)=3x45x3+x23x+5 Q(x)=(((3x5)x+1)x3)x+5 Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial R(x)=x52x4+3x32x2+3x+4 in nested form, like the polynomial Q. Use the nested form to find R(3) in your head. Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value of a polynomial using synthetic division?
Too Many Corn Plants per Acre? The more corn a farmer plants per acre, the greater is the yield the farmer can expect. But only up to a point, many plants acre can cause Overcrowding and decrease yields, data give yields per acre for various densities of corn plantings, as found by researchers at a university test farm. (a) Find the quadratic polynormal that best fits the data. (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. (c) use your result (b) to estimate the yield for 37000 plants per acre.
The graph of a polynomial function can have infinitely many vertical asymptotes. (true/false, justify your answer)
Maximize volume An open box is to be constructed from a piece of cardboard 20 inches by 24 inches by cutting a square of length x from each corner and folding up the sides as shown in the figure. a. Write a polynomial function V(x) that expresses the volume of the constructed box as a function of x. b. Use the theory learned about graphing polynomial functions and graph V(x). c. What is the domain of the function as it relates to the application problem? d. Use a graphing calculator to graph the function, and estimate the value of x that gives the maximum volume and then estimate the maximum volume. Round to one decimal place.
Fill in the blanks. The graph of a polynomial function is , which means that the graph has no breaks, holes, or gaps.
Finding a Polynomial from a Graph Find the polynomial of the specified degree whose graph is shown. Degree 3
Transformations of Monomial Graph the polynomial by transforming an appropriate graph of the form y=xn . Show clearly all x and y-intercepts. P(x)=3(x+2)5+96
Number of Intercepts and Local Extrema How many x-intercepts and how many local extrema does the polynomial P(x)=x34x have? How many x-intercepts and how many local extremadoes the polynomial Q(x)=x3+4x have? If a > 0. bow many x-intercepts and how many local extrema does each Of the polynomials P(x)=x3ax and Q(x)=x3+ax have? Explain your answer.

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Conside polynor Based c degree or odd? leading -5 Use cursor to interact with graph The degree is even, and the sign of the lea