five minus twice the square of a number Algebraic expression: Factors: Constantas: Terms: Coefficients
To break down the algebraic expression "five minus twice the square of a number," let's go through each component:
1. Factors: The expression has two main factors:
- "Five" is a constant factor because it is a specific, unchanging value.
- "Twice the square of a number" is a variable factor because it depends on the value of a number that is not specified.
2. Constants: The constant in this expression is the number "five." It doesn't change because it is not multiplied by any variables.
3. Terms: A term is a combination of factors added or subtracted. In this expression, the terms are:
- "Five" is a term on its own.
- "Twice the square of a number" is also a term.
4. Coefficients: A coefficient is the number multiplied by a variable. In this expression, the coefficient is "two" since it is multiplied by the square of a number.
To simplify this expression further, we need to use a variable, usually represented by the letter 'x,' for "the number" mentioned in the expression. Let's replace "the number" with 'x':
The algebraic expression becomes: 5 - 2x²
Now you have the expression "5 - 2x²," which represents "five minus twice the square of a number."