Solve neatly and answer w showing work. Find a polynomial of least possible degree having the graph shown.1(x) = D(Type your answer in factored form.)(0,28)2.7.50

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Answered: Find a polynomial of least possible…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 15E

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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.
2.If a third degree polynomial has a lone x-intercept at x=a,discuss what this implies about the linear and quadratic factors of that polynomial. 3.Describe verbally how to solve y=mx+c What assumptions have you made about the value of m ?
trying to find the polynomial function p(x) with the given zeros (6,0,-6)
1. If a third degree polynomial has a lone x-intercept at x=a , discuss what this implies about the linear and quadratic factors of that polynomial. 2. Describe verbally how to solve y=mx+c. What assumptions have you made about the value of ? 3. a. Can a quadratic function have a range of (- ∞, ∞)? Justify your answer. b. Discuss the possibilities for the number of times the graphs of two different quadratic functions intersect? c. Discuss the circumstances under which the x-intercepts of the graph of a quadratic function are included in the solution set of a quadratic inequality and when they are not included.
Create a third and fourth degree polynomial of the form p(x)=ax^3and p(x)=ax^4. Choose a to be any number from 2 to 9, and evaluate its values for the following values of x: -20,-15,-10,10,15,20. What do you observe? You may find the Desmos graphing utility to be helpful.
3. A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph of the equation h(x) = 10x – 0.01x² where h(x) is the height of the cannonball above the water when it has traveled a horizontal distance of x feet. (a) What is the maximum height that the cannonball reaches? (b) How far does the cannonball travel horizontally before splashing into the water? 4. Graph the polynomial P(x) = –(x+ 2)³ + 27, showing clearly all x- and y-intercepts.
Find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) 5, 5 − 5i Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. f(x) = x3 − 8x2 − 17x + 9, k = −2
create a polynomial p that has the desired characteristics. You may leavethe polynomial in factored form. The solutions to p(x) = 0 are x = ±3 and x = 6 The leading term of p(x) is 7x^4 The point (−3, 0) is a local minimum on the graph of y = p(x).

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Find a polynomial of least possible degree having the graph shown. f(x) =D (Type your answer in factored form.) Ay 78 (0,28) 7. 12 50