Exercise 4.27. 1. Sketch the graph of a polynomial which has exactly two local maximum values, one local minimum value and three zeros. Hint: Think about what the multiplicity of at least one of the zeros has to be. 2. Find an equation for the polynomial found in part (a).

Q: Use transformations of the graph of y = x4 or y = x5 to graph the function. 1) f(x) = (x +2)5 + 4…

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Q: Find numbers x and y with sum 10 and product 24. Hint: Find a quadratic polynomial satisfied by x.

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Q: Find a possible equation for the polynomial whose graph is given

A: The x-intercepts of the graph are x=-2,x=-1,x=1,x=3 Therefore, the factors of the polynomial are…

Q: . A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1). Which statement…

A: Given that,

Q: polynomial function has a root z = 4

A: We have to select the correct statements of the given function. It is given that y=2x3+13x2+8x-48

Q: Solve the problem below. For your initial post in Brightspace, copy the description of your company…

A: We have to find the profit expression.

Q: Match each graph of a polynomial function with the corresponding equation. Justify your choice. i)…

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Q: 1. A quadratic function f is given: f(z) 6x- 12r+1. %3D a. Express f in standard form. b. Sketch a…

A: The objective is to express f in standard form ,sketch a graph of f and find the maximum or minimum…

Q: The table gives the increase or decrease in the number of donors to a college athletics support…

A: Since year started from 1985, taking year,t=0 for 1985 make a table accordingly: Time Year, t…

Q: Find one solution graphically and then find the remaining solutions using synthetic division. x² +…

A: Here, the given function is: x3+7x2+7x-15=0

Q: Let f(x) = x^2 + 8x a. Express f in standard form by completing the square. b. Find the vertex of f.…

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Q: 2. Write a quadratic function whose graph has the given characteristics. x-Intercepts: (4, -1)…

A: We use the formula y=k(x-a)(x-b) where a and b are the x intercept .and we find the value of k…

Q: Solve the system of equations, if possible. 5x 5y 5z = 5 4x + 5y + z 4 5x + 4y

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Q: 2. Use the graph to determine: (a) Is the degree even or odd? (b) Is the leading coefficient…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.