Question

polynomial
monomial
identify - circle your final answer

1. ( 4 x + 37 y + 5 )

how many terms?
what are the variables?
what is the coefficients

1. ( 12 + 5 p ^ { 2 } + 23 k )

how many terms?
what are the variables?
what is the coefficients

Explanation:

1. For \(4x + 37y+5\)

Step1: Count the number of terms

A term is a single number, variable, or the product of numbers and variables. Here, \(4x\), \(37y\), and \(5\) are three separate terms.

Step2: Identify the variables

Variables are symbols (usually letters) that represent unknown values. In \(4x + 37y + 5\), the variables are \(x\) and \(y\).

Step3: Identify the coefficients

Coefficients are the numerical factors of the terms with variables. For the term \(4x\), the coefficient is \(4\); for the term \(37y\), the coefficient is \(37\).

2. For \(12 + 5p^{2}+23k\)

Step1: Count the number of terms

The terms are \(12\), \(5p^{2}\), and \(23k\), so there are three terms.

Step2: Identify the variables

The variables are \(p\) (in the term \(5p^{2}\)) and \(k\) (in the term \(23k\)).

Step3: Identify the coefficients

For the term \(5p^{2}\), the coefficient is \(5\); for the term \(23k\), the coefficient is \(23\).

Answer:

1.

• How many terms? \(3\)
• What are the variables? \(x,y\)
• What are the coefficients? \(4,37\)

2.

• How many terms? \(3\)
• What are the variables? \(p,k\)
• What are the coefficients? \(5,23\)