POLYNOMIAL LONG
DIVISION
WARM UP
Try to do the following problems on your own and then turn and
talk with your neighbor to see if they got the same thing.
¡  What is 4x 2 -13x-5 divided by x-2
4x-5- 15/(x-2)
¡  What is 3x 3 -5x 2 -2 divided by x-1
3x2-2x-2- 4/(x-1)
¡  What is the general formula for a polynomial long division
problem?
f(x)/d(x) = q(x) + r(x)/d(x)
The degree of the remainder is less than the degree of the divisor.
When the degree is 0 the divisor divides evenly.
PAPER TOSS GAME
Task: Your task is to complete the polynomial long division
problem with in the amount of time allowed. Every one has to
write out and solve the problem on the whiteboard.
If everyone in your group gets the correct answer you will be
awarded one point. Then you will also get to choose a
representative to shoot a basket for the chance to earn an extra
point.
Answer
Problem
x3+4x2-11x-30 Divided by x+5
x2-x+6 or (x-3)(x+2)
(x2+9) Divided by (x-3)
x+3+ 18/(x-3)
x4+4x3+16x-35 Divided by (x+5)
x3-x2+5x-9+10/(x+5)
3x3-4x2-9x+10 Divided by (3x+5)
x2-3x+2 or (x-1)(x-2)
x2+x-17 Divided by (x-4)
x+5+3/(x-4)
x3-4x+6 Divided by (x+3)
x2-3x+5- 9/(x+3)
3x4-8x3+x2-2x+1 Divided by (x2-2)
3x2-8x+7-(18x+15)/(x2-2)
2x3-4x2+6x-12 Divided by (x2+3)
(2x-4)
x3+x-12 Divided by (x+1)
x2-x+2 -14/(x+1)
x2-8x+11 Divided by (x-2)
x-6 – 1/(x2-8x+11)
x4+x+5 Divided by (x+2)
x3-2x2+4x-7 + 19/(x4+x+5)
x2-3x+12 Divided by (x-5)
x+2 + 22/(x2-3x+12)
2x3-7x+3 Divided by (x-2)
2x2+4x+1 +5/(x3-7x+3)
x4-8x+10 Divided by (x+1)
x3-x2+x-9 +19/(x4-8x+10)
5x2-3x+8 Divided by (x-1)
5x+2 +10/(x-1)
TICKET OUT THE DOOR
Before you leave, create and solve your own polynomial long
division problem on the sticky note that is on your desk.