number 97 In Exercises 87-98, for each polynomial function, finda. The end behaviorb. The y-intercept of its graphc. The x-intercept(s) of the graph of the function and the multiplicity of each of the real zerosd. Symmetry of the graph of the function, if anye. The intervals where the function is positive or negativeUse this information to sketch a graph of the function. Factor first if the expression is not infactored form.87. f(x) = x²(x - 1)89. f(x) = (x - 2)²(x + 2)91. g(x) = (x + 1)²(x − 2)(x+3)93. g(x) = 2(x + 1)²(x - 3)²95. f(x)= x³ + 4x² + 4x97. h(x)=2x² + 4x³ + 2x²88. h(x) = x(x - 2)²90. g(x) = (x + 1)(x - 2)²92. f(x) = (x - 1)(x + 2)²(x + 1)94. f(x) = -3(x - 2)²(x + 1)²96. f(x)= x³ 2x² - x98. f(x)= 3x4 - 6x³ + 3x²

solution:-h(x)=-2x4+4x3+2x2 =-2x2x2-2x-1 (a) end…

Answered: 97. h(x) = -2x + 4x³ + 2x²

Math

Algebra

97. h(x) = -2x + 4x³ + 2x²

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.2: Polynomial Functions Of Higher Degree

Problem 42E: In Exercises 33-48, (a) find all real zeros of the polynomial function, (b) determine whether the...

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Question

number 97

In Exercises 87-98, for each polynomial function, find
a. The end behavior
b. The y-intercept of its graph
c. The x-intercept(s) of the graph of the function and the multiplicity of each of the real zeros
d. Symmetry of the graph of the function, if any
e. The intervals where the function is positive or negative
Use this information to sketch a graph of the function. Factor first if the expression is not in
factored form.
87. f(x) = x²(x - 1)
89. f(x) = (x - 2)²(x + 2)
91. g(x) = (x + 1)²(x − 2)(x+3)
93. g(x) = 2(x + 1)²(x - 3)²
95. f(x)= x³ + 4x² + 4x
97. h(x)=2x² + 4x³ + 2x²
88. h(x) = x(x - 2)²
90. g(x) = (x + 1)(x - 2)²
92. f(x) = (x - 1)(x + 2)²(x + 1)
94. f(x) = -3(x - 2)²(x + 1)²
96. f(x)= x³ 2x² - x
98. f(x)= 3x4 - 6x³ + 3x²

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