Identifying Terms, Factors, and Coefficients (3.1.1) February 1st, 2016.

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Presentation transcript:

Identifying Terms, Factors, and Coefficients (3.1.1) February 1st, 2016

Definitions *Quadratic Expression: An expression that can be written in the form *Quadratic Equation: An equation that can be written in the form *Terms: * Coefficients: The number that is multiplied by the variable. *Factor: An expression that can be multiplied by another factor to produce the original expression

More Definitions *Monomial: 1 term *Binomial: The sum of 2 terms *Trinomial: The sum of 3 terms *Polynomial: The sum of any number of terms *Like Terms: Terms that have the same variable raised to the same power. *Constant: A term that contains no variable, only a number.

Ex. 1: Identify the terms, coefficients, constant, and factors of the expression. terms: coefficients: constant: factors:

Simplify the expression and identify it as a monomial, binomial, or trinomial. trinomial

Ex. 3: Write an algebraic expression for each. Identify the terms, coefficients, and constants of the expression. Determine if the expression is quadratic and explain how you know. a) the product of -4 and the square of x, decreased by the product of 2 and x b) the area of a square is the product of its side length s with its side length s terms: coefficients: constant: terms: coefficients: constant: This is a quadratic because it can be written in the form