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 .

Answer 12

Ch. 4.1 - Prob. 1E 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

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

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

Answer to Problem 1CR

Explanation of Solution

Want to see more full solutions like this?

Chapter 4 Solutions