Ways to Solve
This is the simplest way to solve quadratics and higher-order polynomials, which involves taking out the largest shared terms and then putting everything back inside of the parentheses.
What is factoring?
These are two steps for classifying polynomials, or a collection of many terms.
What are identifying the terms and degrees?
This is a literal equation that involves writing it down, labeling three terms, plugging in the terms to solve, and checking in order to solve polynomials with a degree of two.
What is the Quadratic Formula?
This is a polynomial of one term, e.g. 4x.
What is a monomial?
This polynomial has a degree of zero, e.g. the counting numbers as in 1, 2, 3, 4, etc.
What is a constant, or numerical value?
This method can help in solving higher-degree polynomials that are more difficult to solve, which involves matching the leading terms; distributing; subtracting; and repeating these steps until you get your final answers.
What is Polynomial Long Division?
This is what happens to a graph as the variables approach positive or negative infinity.
What is the end behavior?
These polynomial identities can help in factoring quadratics and cubic expressions that can be simplified by taking out the largest shared terms and then putting all of the terms back in the parentheses.
What are the Sum/Difference of Squares and/or Cubes?
This is a polynomial of two terms, e.g. 4x+1.
What is a binomial?
This polynomial has a degree of one, e.g. 4x+5.
What is a linear expression?
This involves identifying the terms and degrees.
What is classifying polynomials?
These collections of many terms are symmetric about the y-axis.
What are even polynomials?
This is a real number property that states that polynomials are closed under addition, subtraction, multiplication but not division because the combination of more than one polynomial must result in another collection of many terms.
What is The Closure Property?
This is a polynomial of three terms.
What is a trinomial, e.g. the Sum/Difference of Squares?
This polynomial has a degree of two, e.g. the Sum/Difference of Squares.
What are Quadratics?
This pattern involves making a table if you need to and then ensuring that your addition, subtraction, or other calculations are correct.
What are Successive Differences?
These term collections have a symmetry about the origin, which is the point (0,0).
What are odd polynomials?
An example of this polynomial identity is (a-b)(a-b) can help in factoring quadratics, or any collection of terms with a degree of two.
What is the Square of a Difference?
This is a polynomial of 4 terms.
What is a quadrinomial?
This is a polynomial that has a degree of three.
What is a Cubic Expression?
This involves collecting like terms, using FOIL/The Distributive Property and Polynomial Long or Synthetic Division especially with those higher-degree term collections that are hard to solve.
What are Adding/Subtracting, Multiplying and/or Dividing Polynomials?
These one-to-one functions are neither even or odd because they have a mixture of both collections of terms.
What are Slope-Intercept Form Functions?
Most of these can be typed on your electronic devices and these are a synonym for the polynomial identities that can help in factoring the simpler collections of many terms.
What are The Common Factorizations?
This is a polynomial that has 5 terms.
What is a quintinomial?
This polynomial has a degree of 4.
What are Quartic Expressions?