B. Identify the kind of algebraic expression and determine the degree, variables and constant
Constant
Variables
Degree
Algebraic Expression
Type/kind
1. 7x + 4x3 - 17
2. 3abc2 + a2bc2-abc + 2
3. x + 2x2 - 6x3 + 9x4 +1
4. 3xyz2 + 12
5. 14
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9514 1404 393

  see the attachment

Step-by-step explanation:

There are no roots, fractional powers, or denominators containing variables, so each of these expressions is the sum of multiples of products of variables to integer powers. (One is a constant.) That makes each expression a polynomial. Some polynomials can be further classified by their degree.

The degree is the highest sum of powers of the variables in the terms. For example, the term a^2·b·c^2 has variables with powers 2, 1, and 2. The sum of those powers is 2+1+2 = 5, so this is a term of degree 5.

A constant is a term with no variables.

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It is customary in algebra problems to use variables that are a single lower-case letter. Sometimes, a variable may be represented by a letter in uppercase, or in a special font or language (usually Greek). Sometimes, it may be a word or phrase. Here, we assume each variable is one letter, so xyz is the product of three variables.

Perhaps the table below answers the questions you are asking about these expressions.

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(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3