Block Days Wed-Thurs 12/4-5 Dividing Polynomials.

Post date: Dec 4, 2013 6:00:34 PM

Today we learned how to use long division to divide polynomials into factors. We also took our skills quiz.

Example 1: Divide 3x3 – 5x2 + 10x – 3 by 3x + 1

animation

      • (Don't forget to change the signs, as shown in red, when doing the subtraction.)

      • We write any remainder as a fractional part of the divisor. In this case our quotient is

x^2 - 2x + 4 + (-7)/(3x + 1)

      • Example 2: Divide 2x3 – 9x2 + 15 by 2x – 5

        • First off, note that there is a gap in the degrees of the terms of the dividend: the polynomial

        • 2x3 – 9x2 + 15 has no x term. It is important that we leave space for a x-term column. We can create this space by turning the dividend into 2x3 – 9x2 + 0x + 15.

animation

        • Remember to add the remainder to the polynomial part of the answer:

x^2 - 2x - 5 + (-10)/(2x - 5)

        • For a more in-depth lesson and other cool math stuff, check out PurpleMath

        • For more help just on dividing polynomials check out the video below.

        • Dividing Polynomials

      • HW: Assignment 6 no 102, 103 due Friday

      • Assignment 7 due Monday