POLYNOMIALSs

    Cards (9)

    • 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