Question

What is the Coefficients(s), Constant Value, Exponent, Number of Terms, Variables(s)?

A. 7 coefficients, -5 constant value, 2 exponent, 3 terms, x variable
B. -1 coefficients, 0 constant value, 2 exponent, 1 term, x variable
C. 1 coefficients, 0 constant value, 2 exponent, 2 terms, x and z variables
D. 12 coefficients, 12 constant value, 0 exponent, 1 term, no variable

Answer 1

In algebraic expressions, coefficients are numerical factors multiplying variables, the constant value is a number without variables, the exponent tells us the power of the variable, the number of terms refers to single monomials in an expression, and variables are symbols representing unknown values.

Step-by-step explanation:

To address the question, we must define several algebraic terms in the context of polynomial expressions:

• Coefficients are the numerical factors multiplying the variables.
• Constant Value is a fixed number that stands alone without any variables.
• Exponent represents the power to which the variable is raised.
• Number of Terms is the count of distinct monomials in an expression.
• Variables are symbols used to represent unknown values.

An example of these definitions can be seen in the expression x² + 1.2 x 10⁻²x - 6.0 × 10⁻³. Here, 1 and 1.2 are the coefficients (1 is typically not written out), -6.0 is the constant value (note it is multiplied by 10⁻³ which changes its size but not its nature as a constant), 2 is the exponent on the first term, there are three terms, and x is the variable.