See how well you have learned the vocabulary in this chapter. A polynomial is an algebraic expression made up of A. a term or a finite product of terms with positive coefficients and exponents B. a term or a finite sum of terms with real coefficients and whole number exponents C. the product of two or more terms with positive exponents D. the sum of two or more terms with whole number coefficients and exponents.

Question

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Answer 1

Textbook Question

Chapter 4, Problem 1TYWP

See how well you have learned the vocabulary in this chapter.

A polynomial is an algebraic expression made up of

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents.

Expert Solution & Answer

To determine

The correct option for the statement“A polynomial is an algebraic expression made up of”,

Where the options given are:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

Answer to Problem 1TYWP

Solution:

The correct option is B.

Explanation of Solution

Given Information:

The statement “A polynomial is an algebraic expression made up of”.

And the options are as follows:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

A polynomial in x is a term or the sum of a finite number of terms of the from axn, for any real number a and any whole number n.

Example: 5x3+2x2−7

Option B matches this definition of polynomial.

Therefore, the correct option is B

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Q1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor. Q2: Answer only two A:Let M be a subset of a linear space X, show that M is a hyperplane of X iff there exists ƒ€ X'/{0} and a € F such that M = (x = x/f&x) = x}. fe B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, E X iff for any sequence (x) in X converge to Xo then the sequence (f(x)) converge to (f(x)) in Y. Q3: A:Let M be a closed subspace of a normed space X, constract a linear space X/M as normed space B: Let A be a finite dimension subspace of a Banach space X, show that A is closed. C: Show that every finite dimension normed space is Banach space.

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Answer 2

Textbook Question

Chapter 4, Problem 1TYWP

See how well you have learned the vocabulary in this chapter.

A polynomial is an algebraic expression made up of

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents.

Expert Solution & Answer

To determine

The correct option for the statement“A polynomial is an algebraic expression made up of”,

Where the options given are:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

Answer to Problem 1TYWP

Solution:

The correct option is B.

Explanation of Solution

Given Information:

The statement “A polynomial is an algebraic expression made up of”.

And the options are as follows:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

A polynomial in x is a term or the sum of a finite number of terms of the from axn, for any real number a and any whole number n.

Example: 5x3+2x2−7

Option B matches this definition of polynomial.

Therefore, the correct option is B

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Answer 3

Textbook Question

Chapter 4, Problem 1TYWP

See how well you have learned the vocabulary in this chapter.

A polynomial is an algebraic expression made up of

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents.

Expert Solution & Answer

To determine

The correct option for the statement“A polynomial is an algebraic expression made up of”,

Where the options given are:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

Answer to Problem 1TYWP

Solution:

The correct option is B.

Explanation of Solution

Given Information:

The statement “A polynomial is an algebraic expression made up of”.

And the options are as follows:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

A polynomial in x is a term or the sum of a finite number of terms of the from axn, for any real number a and any whole number n.

Example: 5x3+2x2−7

Option B matches this definition of polynomial.

Therefore, the correct option is B

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 4, Problem 1TYWP

See how well you have learned the vocabulary in this chapter.

A polynomial is an algebraic expression made up of

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents.

Expert Solution & Answer

To determine

The correct option for the statement“A polynomial is an algebraic expression made up of”,

Where the options given are:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

Answer to Problem 1TYWP

Solution:

The correct option is B.

Explanation of Solution

Given Information:

The statement “A polynomial is an algebraic expression made up of”.

And the options are as follows:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

A polynomial in x is a term or the sum of a finite number of terms of the from axn, for any real number a and any whole number n.

Example: 5x3+2x2−7

Option B matches this definition of polynomial.

Therefore, the correct option is B

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

The correct option for the statement“A polynomial is an algebraic expression made up of”,

Where the options given are:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

Answer to Problem 1TYWP

Solution:

The correct option is B.

Explanation of Solution

Given Information:

The statement “A polynomial is an algebraic expression made up of”.

And the options are as follows:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

A polynomial in x is a term or the sum of a finite number of terms of the from axn, for any real number a and any whole number n.

Example: 5x3+2x2−7

Option B matches this definition of polynomial.

Therefore, the correct option is B

Answer 8

Expert Solution & Answer

To determine

The correct option for the statement“A polynomial is an algebraic expression made up of”,

Where the options given are:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

Answer to Problem 1TYWP

Solution:

The correct option is B.

Explanation of Solution

Given Information:

The statement “A polynomial is an algebraic expression made up of”.

And the options are as follows:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

A polynomial in x is a term or the sum of a finite number of terms of the from axn, for any real number a and any whole number n.

Example: 5x3+2x2−7

Option B matches this definition of polynomial.

Therefore, the correct option is B

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

The correct option for the statement“A polynomial is an algebraic expression made up of”,

Where the options given are:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

Answer 12

Answer to Problem 1TYWP

Solution:

The correct option is B.

Answer 13

Explanation of Solution

Given Information:

The statement “A polynomial is an algebraic expression made up of”.

And the options are as follows:

A. a term or a finite product of terms with positive coefficients and exponents

B. a term or a finite sum of terms with real coefficients and whole number exponents

C. the product of two or more terms with positive exponents

D. the sum of two or more terms with whole number coefficients and exponents

A polynomial in x is a term or the sum of a finite number of terms of the from axn, for any real number a and any whole number n.

Example: 5x3+2x2−7

Option B matches this definition of polynomial.

Therefore, the correct option is B

Answer 14

Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Prob. 3E Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 7E Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 9E Ch. 4.1 - Write each expression in exponential form. See...

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Answer to Problem 1TYWP

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