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Determine 2 linear functions and 1 quadratic function such that the product of the 3 build a quartic function with a double zero at -1 and a y-intercept at (0, -3). Write the of the quartic function. Explain your reasoning.

Determine 2 linear functions and 1 quadratic function such that the product of the 3 build a quartic function with a double zero at -1 and a y-intercept at (0, -3). Write the of the quartic function. Explain your reasoning.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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please help with this practice assignment do not do the stretch assignment please help with number 3 and 4 only thank you! 

3 Determine 2 linear functions and 1 quadratic function such that the product of the 3 functions build a quartic function with a double zero at -1 and a y-intercept at (0, -3). Write the equatio of the quartic function. Explain your reasoning. 4 Determine 2 quadratic functions such that the product of the 2 functions build a quartic function with only 2 x-intercepts at (-2, 0) and (1, 0) and a y-intercept at (0, -8). Write the equation of the quartic function. Explain your reasoning. STRETCH Optional 1 Determine 2 quadratic functions and a linear function such that the product of the 3 functions build a quintic function with 3 x-intercepts at (-1, 0), (2, 0), and (3, 0) and a y-intercept at (0, 12). Write the equation of the quintic function. Explain your reasoning. 2 Consider the function f(x) = x^ - 4x³ - 2x² + 12x - 3. a) Graph the function. (b) Complete the table of values for the function. 240 X₁ -2 3 X₂ you notice? -1 4 f(x₁) f(x₂) f(x₂2)-f(x₁) Topic 3 Characteristics of Polynomial Functions X₂-X₁ Compare the last column of the table to the graph between the values x, and x₂. What do f(x₂) -f(x₁) X₂-X₁ O Carnegie Learning. Inc
Transcribed Image Text:3 Determine 2 linear functions and 1 quadratic function such that the product of the 3 functions build a quartic function with a double zero at -1 and a y-intercept at (0, -3). Write the equatio of the quartic function. Explain your reasoning. 4 Determine 2 quadratic functions such that the product of the 2 functions build a quartic function with only 2 x-intercepts at (-2, 0) and (1, 0) and a y-intercept at (0, -8). Write the equation of the quartic function. Explain your reasoning. STRETCH Optional 1 Determine 2 quadratic functions and a linear function such that the product of the 3 functions build a quintic function with 3 x-intercepts at (-1, 0), (2, 0), and (3, 0) and a y-intercept at (0, 12). Write the equation of the quintic function. Explain your reasoning. 2 Consider the function f(x) = x^ - 4x³ - 2x² + 12x - 3. a) Graph the function. (b) Complete the table of values for the function. 240 X₁ -2 3 X₂ you notice? -1 4 f(x₁) f(x₂) f(x₂2)-f(x₁) Topic 3 Characteristics of Polynomial Functions X₂-X₁ Compare the last column of the table to the graph between the values x, and x₂. What do f(x₂) -f(x₁) X₂-X₁ O Carnegie Learning. Inc
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