math reviewer

• give me the 4 rules of intergers

  addition

  subtraction

  multiplication

  division
• addition

  the sum of positive integers or negative integers
• subtraction

  to subtract integers
• multiplication

  the product of integers
• division

  the quotient of integers
• sequence

  set of things or numbers that follows a specific pattern
• arithmetic seuqence

  a sequence in which each term can be formed by adding a common difference
• arithmetic means

  the sum of all the terms divided by the number of terms in an arithmetic sequence
• arithmetic series

  the sum of all the terms in an arithmetic sequence
• geometric sequence

  in which each term can be obtained by multiplying a specific or fix number
• common ratio

  the pattern used to continue the sequence
• geometric mean

  it is the average of a geometric sequence
• geometric series

  the sum of all the terms of a geometric sequence
• infinite geometric series


  sum of an infinite geometric sequence
• fibonacci sequence

  sequence wherein terms can be obtained by adding the two previous terms
• Leonardo Pisano


  the proponent of the fibonacci sequence
• harmonic sequence

  the reciprocal of the arithmetic sequence
• long division


  can be used regardless of the degree of the divisor
• synthetic division

  only used if the divisor is a binomial in the first degree
• factoring


  the process by which a number or variable is written as a product of two or more terms
• the fundemental theorem of algebra

  that if f(x) is a polynomial function with degree n, where n>0, the f(x) has atleast one real zero
• real zeros

  will depend on the degree of a polynomial function
• perfect square trinomial

  first and last term should be positive
• 1st degree

  linear function
• 2nd degree

  quadratic function
• 3rd degree

  cubic function
• 4th degree

  quartic function
• 5th degree

  quintic function
• descarte’s rule of signs

  determines how many real zeros are there in a polynomial function
• rational root theorem

  used to find out all the possible rational roots or real zeros in a function
• P

  constant
• Q

  numerical coefficient
• the leading coefficient


  the highest power of the variables
• degree is odd and peading coefficient is positive


  falls to the left and rises to the right
• degree if odd and leading coefficient is negative


  rises to the left and falls to the right
• degree is even and leading coefficient is positive


  rises to the left and to the right
• degree is even and leading coefficient is negative


  falls to the left and to the right