Question

I need help with this problem can someone help me

Answer 1

Answer:

  see below

Step-by-step explanation:

This is a vocabulary question. You are expected to know the meanings of ...

• constant
• coefficient
• term
• factor
• like terms

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In most uses, a "constant" is a number by itself. It may be positive, negative, or zero, rational or irrational. Sometimes the term is also applied to any expression that evaluates to a numerical value. The constant in (3x+8) is 8.

"Coefficient" refers to the multiplier of a variable or expression of interest. In 3x, the coefficient of x is 3. In the whole given expression, the coefficient of (9+4) is 5(3x+8). Usually, we use "coefficient" to refer to the numerical factor in a term.

A term is generally a product of constants and variables. The constants may be any value, and the variables, if present, may be raised to some power. Sometimes, the word "term" is used to refer to an expression that is to be treated as a whole. As a general rule, terms are separated from each other by + or - signs. (3x+8) has two terms: 3x, and 8. 1 + (x-3)/2 could be considered to have two terms: 1, and (x-3)/2.

A factor is something that is multiplied by other factors to form a product. It may have factors itself. 5(9+4) is a factor in the given expression, and 5 is a factor of that. Writing the factors of a given expression will generally stop at a level that is appropriate to the need for writing the factors. Factorization is the process of identifying the different factors. For example, 6x^2 can be factored as (6)(x^2) or (2)(3)(x)(x), depending on the need.

"Like terms" are ones that have the same set of variables. That is, their list of variable factors is the same. x^2 and x^y are not like terms because one has variable factors of (x)(x) and the other has variable factors of (x)(x)(y). 9 and 4 are like terms because neither term contains any variables.