Whether the function is a polynomial function. Also, write it in standard form and state its degree, type and leading coefficient.

Question

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Answer 1

Question

Chapter 4, Problem 1CR

To determine

To determine: Whether the function is a polynomial function. Also, write it in standard form and state its degree, type and leading coefficient.

Expert Solution & Answer

Answer to Problem 1CR

The standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

Explanation of Solution

Given information:

The function: h(x)=−x3+2x2−15x7

Calculation:

The given function is h(x)=−x3+2x2−15x7 .

The above function is a polynomial function.

Write the standard form of the above function as:

h(x)=−15x7−x3+2x2

The highest power in the function is 7.

This means the degree of the function is 7.

The function is a 7th degree polynomial and its leading coefficient is −15 .

Hence, the standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

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Answer 2

Question

Chapter 4, Problem 1CR

To determine

To determine: Whether the function is a polynomial function. Also, write it in standard form and state its degree, type and leading coefficient.

Expert Solution & Answer

Answer to Problem 1CR

The standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

Explanation of Solution

Given information:

The function: h(x)=−x3+2x2−15x7

Calculation:

The given function is h(x)=−x3+2x2−15x7 .

The above function is a polynomial function.

Write the standard form of the above function as:

h(x)=−15x7−x3+2x2

The highest power in the function is 7.

This means the degree of the function is 7.

The function is a 7th degree polynomial and its leading coefficient is −15 .

Hence, the standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

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Answer 3

Question

Chapter 4, Problem 1CR

To determine

To determine: Whether the function is a polynomial function. Also, write it in standard form and state its degree, type and leading coefficient.

Expert Solution & Answer

Answer to Problem 1CR

The standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

Explanation of Solution

Given information:

The function: h(x)=−x3+2x2−15x7

Calculation:

The given function is h(x)=−x3+2x2−15x7 .

The above function is a polynomial function.

Write the standard form of the above function as:

h(x)=−15x7−x3+2x2

The highest power in the function is 7.

This means the degree of the function is 7.

The function is a 7th degree polynomial and its leading coefficient is −15 .

Hence, the standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

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Answer 4

Question

Chapter 4, Problem 1CR

To determine

To determine: Whether the function is a polynomial function. Also, write it in standard form and state its degree, type and leading coefficient.

Expert Solution & Answer

Answer to Problem 1CR

The standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

Explanation of Solution

Given information:

The function: h(x)=−x3+2x2−15x7

Calculation:

The given function is h(x)=−x3+2x2−15x7 .

The above function is a polynomial function.

Write the standard form of the above function as:

h(x)=−15x7−x3+2x2

The highest power in the function is 7.

This means the degree of the function is 7.

The function is a 7th degree polynomial and its leading coefficient is −15 .

Hence, the standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

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Answer 5

Chapter 4, Problem 1CR

To determine

To determine: Whether the function is a polynomial function. Also, write it in standard form and state its degree, type and leading coefficient.

Expert Solution & Answer

Answer to Problem 1CR

The standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

Explanation of Solution

Given information:

The function: h(x)=−x3+2x2−15x7

Calculation:

The given function is h(x)=−x3+2x2−15x7 .

The above function is a polynomial function.

Write the standard form of the above function as:

h(x)=−15x7−x3+2x2

The highest power in the function is 7.

This means the degree of the function is 7.

The function is a 7th degree polynomial and its leading coefficient is −15 .

Hence, the standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

Answer 6

Chapter 4, Problem 1CR

To determine

To determine: Whether the function is a polynomial function. Also, write it in standard form and state its degree, type and leading coefficient.

Expert Solution & Answer

Answer to Problem 1CR

The standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

Explanation of Solution

Given information:

The function: h(x)=−x3+2x2−15x7

Calculation:

The given function is h(x)=−x3+2x2−15x7 .

The above function is a polynomial function.

Write the standard form of the above function as:

h(x)=−15x7−x3+2x2

The highest power in the function is 7.

This means the degree of the function is 7.

The function is a 7th degree polynomial and its leading coefficient is −15 .

Hence, the standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

Answer 7

Chapter 4, Problem 1CR

To determine

To determine: Whether the function is a polynomial function. Also, write it in standard form and state its degree, type and leading coefficient.

Answer 8

Expert Solution & Answer

Answer to Problem 1CR

The standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Given information:

The function: h(x)=−x3+2x2−15x7

Calculation:

The given function is h(x)=−x3+2x2−15x7 .

The above function is a polynomial function.

Write the standard form of the above function as:

h(x)=−15x7−x3+2x2

The highest power in the function is 7.

This means the degree of the function is 7.

The function is a 7th degree polynomial and its leading coefficient is −15 .

Hence, the standard form of the function is h(x)=−15x7−x3+2x2 , the degree of the function is 7, the type of the function is a 7th degree polynomial and the leading coefficient is −15 .