2.2 DIVIDING POLYNOMIALS

• Polynomial long division - Method for dividing a polynomial by another polynomials of a lower degree.
• Name the following from red-green-blue-orange

  A) Divisor

  B) Quotient

  C) Dividend

  D) Remainder

  
• Use long division to divide:

  (–y2 + 2y3 + 25) ÷ (y – 3)

  (Note: When writing exponents, for example x squared, just write x2.

  For fractions, just use "/" as "over".)

  2y2 + 5y + 15 + 70/y – 3
• Use long division to divide:

  (15x2 + 8x – 12) ÷ (3x + 1)

  (Note: When writing exponents, for example x squared, just write x2.

  For fractions, just use "/" as "over".)

  5x + 1 - 13/3x + 1
• Use long division to divide:

  (x2 + 5x – 28) ÷ (x – 3)

  (Note: When writing exponents, for example x squared, just write x2.

  For fractions, just use "/" as "over".)

  x + 8 - 4/x - 3
• Synthetic long division - is a short-hand method of dividing a polynomial by a linear binomial by using only the coefficients.
• What is x in (x + 2)?

  -2
• What is x in (x + 3)?

  -3
• What is x in (x – 6)?

  6
• Divide using synthetic division:

  (3x4 – x3 + 5x – 1) ÷ (x + 2)

  (Note: When writing exponents, for example x squared, just write x2. For fractions, just use "/" as "over".)

  3x3 – 7x2 + 14x – 23 + 45/x + 2
• Divide using synthetic division:

  (6x2 – 5x – 6) ÷ (x + 3)

  (Note: When writing exponents, for example x squared, just write x2. For fractions, just use "/" as "over".)

  x + 3