DAT
Variable or literal
Letter representing unknown quantities.
Coefficient
The number of times the variable is added.
Algebraic Term
Product formed by a coefficient with one or more variables to any power.
Degree
It is calculated by adding the exponents of the variables of which it is composed.
Like terms
Terms that have the same variables with the same powers.
Constant or independent term
Number that does not multiply a variable.
Algebraic expression
Combination of literals and constants related to the operations(all or some of them).
If an algebraic expression contains only addition, difference, product or power operations( not necessarily all of them), the expression is called a...
Polynomial.
Degree of a polynomial
It is the greatest of the degrees of the terms that compose it.
Monomial
It is made up of a single algebraic term.
Binomial
It is formed by two algebraic terms.
Trinomial
It is made up of three algebraic terms.
Formula of square binomial (positive case)
a²+2ab+b²
Formula of square binomial (negative case)
a²-2ab+b²
Formula for conjugate binomial
a²-b²
Formula for a cube of a binomial (positive case)
a³+3a²b+3ab²+b³
Formula for a cube of a binomial ( negative case)
a³-3a²b+3ab²-b³
Formulas for factoring by addition or subtraction of two cubes (positive case)
(a³+b³)=(a+b)(a²-ab+b²)
Formulas for factoring by addition or subtraction of two cubes
(a³-b³)=(a-b)(a²+ab+b²)
Factorization or factoring
It is the process of finding the factors that give rise to a given expression when multiplied.
Irreducible or Prime Polynomial
Polynomial that cannot be expressed as the product of other polynomials.
Solution or root
Variable's value that makes the equation true when substituted into the variable's place.
ax+b=0
Linear equation in one variable.
Solution set
Letter S
Identity
An equation true for all cases or values of the variable.
Conditional
If there are values for which the equation is true and others for which it is false.
Literal equation
Equation that contains more than one letter, only one letter is considered to represent the variable, and the others represent unspecified constants.
Linear equation with two variables
ax+by=c
Cartesian coordinate system
It consists of two perpendicularly intersecting number lines.
Origin
The point of intersection.
The quadrants
Four regions formed between the two lines are called quadrants, they are numbered counterclockwise, starting at the upper right.
Abscissa axis or x-axis
Horizontal axis.
Ordinate axis or y-axis
Vertical axis.
Quadratic or second-degree equation
ax²+bx+c=0
Full quadratic equation
ax²+bx+c=0
Pure quadratic equation
ax²+c=0
Mixed quadratic equation
ax²+bx=0
Quadratic formula
The formula that I already know.
Discriminant
b²-4ac
D>0
Two real and different solutions.
D=0
Only one real solution (repeated).
D<0
There is no real solution.
A quadratic trinomial ax²+bx+c can be factores if and only if the discriminant (b²-4ac) is a...
perfect square.