- Define and write the general form of a quadratic trinomial.
- Find the binomial factors of a quadratic trinomial with a leading coefficient of 1.
- Determine the signs of a trinomial’s factors based on the sign of its x-term and its constant.
- Binomial – A polynomial with exactly two terms.
- Constant Term – The term in a polynomial that does not have a variable. The constant term has a degree of zero.
- Degree – The value of the greatest exponent in a polynomial.
- ex. is a 4th degree polynomial
- Factor – To write a number or expression as a product of two or more numbers or expressions. A number or expression that is multiplied by another number or expression.
- The factors of a quadratic trinomial are two binomials
- FOIL – A method of multiplying binomials. FOIL stands for First, Outer, Inner, Last, the order in which you would multiply a binomial’s terms.
- Leading Coefficient – The number multiplied by the variable in the first term in a polynomial.
- Parabola – The set of points in a plane that are related to a given point (the focus) and a given line (the directrix) by this relationship: the distance from any point on the parabola to the focus is the same as the distance from that point to the directrix.
- A parabola is a conic section
- Polynomial – An algebraic expression with one or more terms. None of the variables is in the denominator of a fraction, and any exponents are whole numbers.
- Quadratic Function – A function that has a degree of 2.
- Quadratic Trinomial – A polynomial that has exactly three terms and a degree of 2.
- Trinomial – A polynomial that has exactly three terms.
|Quadratic Functions Chart|
|Rules for Multiplying Binomials|
|Signs and Factors|
|Rules for Factoring|