Explanation Given: The given polynomial is h ( x ) = x − 2 . Concept: a) The leading term is the first term of a polynomial arranged in descending order of their powers. b) The leading coefficient is the coefficient of leading term. c) The degree is the highest power of a polynomial. d) The type of a polynomial is defined by its degree. 1. A polynomial with degree zero is constant polynomial function. 2. A polynomial with degree one is linear polynomial function. 3. A polynomial with degree two is quadratic polynomial function. 4. A polynomial with degree three is cubic polynomial function. 5. A polynomial with degree four is quartic polynomial function. e) The leading term behavior of curve for a polynomial of degree n can be explained in the following ways, 1. If n is an even number and a n > 0 , then end behavior of polynomial is given by the curve in Figure (1). Figure ( 1 ) 2. If n is an even number and a n < 0 , then end behavior of polynomial is given by the curve in Figure (2). Figure ( 2 ) 3. If n is an odd number and a n > 0 , then end behavior of polynomial is given by the curve in Figure (3). Figure ( 3 ) 4

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Author: Judith Beecher, Judith Penna

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Chapter 4.4, Problem 108E

To determine

To find:

The leading term, the leading coefficient and the degree of given polynomial h(x)=x−2. Then describe the end behavior of the function’s graph and classify the polynomial function as constant, linear, quadratic, cubic or quartic.

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Chapter 4.4, Problem 107E

Chapter 4.4, Problem 109E

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Chapter 4 Solutions

Pearson eText for College Algebra -- Instant Access (Pearson+)

Ch. 4.1 - Determine the leading term, the leading...Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

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The leading term, the leading coefficient and the degree of given polynomial h ( x ) = x − 2 . Then describe the end behavior of the function’s graph and classify the polynomial function as constant, linear, quadratic, cubic or quartic.

To find: The leading term, the leading coefficient and the degree of given polynomial h(x)=x−2. Then describe the end behavior of the function’s graph and classify the polynomial function as constant, linear, quadratic, cubic or quartic.

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Chapter 4 Solutions

To find:

The leading term, the leading coefficient and the degree of given polynomial h(x)=x−2. Then describe the end behavior of the function’s graph and classify the polynomial function as constant, linear, quadratic, cubic or quartic.