POLYNOMIALSs

• leading coefficient is the highest degree

  Types of poly by degree

  1. Monomial
  2. binomial
  3. trinomial
  4. multi nomial/ poly
• By total of degrees on a poly mult to the other total of poly b + determines degree of final answer

  bi to tri = 6

  tri to tri = 9
• special products

  square of binomial

  (a-b)^2 = a2 -2 ab + b2

  (a=b)^2 = a2 +2 ab + b2
• product of sum and difference bi

  a2-b2 = (a-b) (a+b)
• cube of binomial

  (a+b)3 = a3+ 3a^2b+ 3ab^2 + b^3

  (a-b)3= a3 - 3a^2b + 3ab^2 - b^3
• sum diff of cubes

  (a3-b3)= (a-b) (a2+ab+b^2)

  (a3+b3) = (a +b) (a^2-ab+b^2)
• LONG DIVISION POLY

  x+3 / x3+3x2+4x+2

  x divide with x3

  quotient mult to 3 and placed on the like terms

  subtract

  repeat steps until zero

  remainders:

  expressed as your answer then remainder over the divisor

  2x+x+1+ (5/2x+3)
• Subtract:

  (-) sign when operating and paired with a - integer = operation becomes addition

  Flip operation

  flip sign

  -6 - (-24) = -6 + (24)
• SYNTHETIC DIVISION

  1. divisor opposite sign
  2. take coeff and sign of dividends
  3. bring down leading coeff
  4. mult leading and divisor
  5. put product on next term
  6. plus opperation
  7. repeat until zero
  8. express answer back to poly

  remainder is expressed the same way