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)
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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Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9aebe04-9188-4807-af82-86075f7359a2%2Fa84b8a98-4e00-47db-9e6e-123a4fa02880%2Fp061lg9_processed.jpeg&w=3840&q=75)
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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