5_1 IntroPolynomials
... Examples: 7x or -11xy2 or 192 or z A constant term contains only a number A variable term contains at least one variable and has a numeric part and a variable part A polynomial expression is: one or more terms separated by addition or subtraction; any exponents must be whole numbers; no variable in ...
... Examples: 7x or -11xy2 or 192 or z A constant term contains only a number A variable term contains at least one variable and has a numeric part and a variable part A polynomial expression is: one or more terms separated by addition or subtraction; any exponents must be whole numbers; no variable in ...
Notes: Quadratic Functions Vertex Form
... 3. Go back to _______________ _______________, plug in the ______________ and ______ value. ...
... 3. Go back to _______________ _______________, plug in the ______________ and ______ value. ...
Algebra II Test #3 Review Sheet Name: Multiple Choice Identify the
... ____ 2. Identify the vertex and the axis of symmetry of the graph of the function a. vertex: (–3, –3); axis of symmetry: b. vertex: (–3, 3); axis of symmetry: c. vertex: (3, 3); axis of symmetry: d. vertex: (3, –3); axis of symmetry: ...
... ____ 2. Identify the vertex and the axis of symmetry of the graph of the function a. vertex: (–3, –3); axis of symmetry: b. vertex: (–3, 3); axis of symmetry: c. vertex: (3, 3); axis of symmetry: d. vertex: (3, –3); axis of symmetry: ...
DISTANCE EDUCATION B.Sc. (Mathematics) DEGREE
... If A is any non-empty subset of a metric space M , d then prove that A is open if and only if A can be expressed as the union of a family of open ...
... If A is any non-empty subset of a metric space M , d then prove that A is open if and only if A can be expressed as the union of a family of open ...
Equation
In mathematics, an equation is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions. An equation differs from an identity in that an equation is not necessarily true for all possible values of the variable.There are many types of equations, and they are found in all areas of mathematics; the techniques used to examine them differ according to their type.Algebra studies two main families of equations: polynomial equations and, among them, linear equations. Polynomial equations have the form P(X) = 0, where P is a polynomial. Linear equations have the form a(x) + b = 0, where a is a linear function and b is a vector. To solve them, one uses algorithmic or geometric techniques, coming from linear algebra or mathematical analysis. Changing the domain of a function can change the problem considerably. Algebra also studies Diophantine equations where the coefficients and solutions are integers. The techniques used are different and come from number theory. These equations are difficult in general; one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions.Geometry uses equations to describe geometric figures. The objective is now different, as equations are used to describe geometric properties. In this context, there are two large families of equations, Cartesian equations and parametric equations.Differential equations are equations involving one or more functions and their derivatives. They are solved by finding an expression for the function that does not involve derivatives. Differential equations are used to model real-life processes in areas such as physics, chemistry, biology, and economics.The ""="" symbol was invented by Robert Recorde (1510–1558), who considered that nothing could be more equal than parallel straight lines with the same length.