math

• arithmetic sequence - is a sequence in which the difference between e successive terms ate constant. it is also known as arithmetic progression.
• common difference - is a number added to any term to get the next term
• An - is the number of terms
• A1 - is the first term
• d - is the common difference
• arithmetic means - are terms found between 2 extremes of an arithmetic sequence a1 a2 a3 a4 a5 a6 (a1 & a6 are extremes and a2 - a5 are the means)
• arithmetic series - is thw sum of the indicated terms in an arithmetic sequence
• Finite arithmetic series - is used when the first and last term is given
• infinite arithmetic series - is used when the first term is only given
• Division algorithm - also known as long division
• Synthetic division - is the easiest and shortest way to divide polynomials with the form of x - c
• remainder theorem - if a polynomial P(x) is divided by x-c, where C is a real number, then the remainder is P(c)
• Descartes rule of signs

  • to determine the number of real zeros of a polynomial function
  • this rule was developed by the french mathematician Rene Descartes
• polynomial - is said to have a variation is sign if two consecutive terms have opposite signs
• upper bound - positive integers, positive outcome
• lower bound - negative, alternate
• turning point - is a curve taht is hugher or lower than all points located nearby
• circle - is the set of all points having the same distance from a fixed point. the fixed point is at the center
• radius - it is a segment having as its endpoint the center and a point on the circle
• chord - it is a segment whose endpoints lie on the circle
• diameter - it is a chords which passes through the center, it is the longest chord
• central angle - arc is define as the measure of the central angle
• arc - is an unbroken part of a circle
• semi circle - three points. endpoints of a diameter