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.

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 $a{x}^n$, for any real number a and any whole number n.

Example: $5x^3+2x^2-7$

Option B matches this definition of polynomial.

Therefore, the correct option is B