About Dividing Polynomials with Missing Terms:

Now that we have a general understanding of how to perform polynomial long division, we encounter another obstacle: missing terms. When are dividing polynomials and discover missing terms, we write a “0” in as a place holder for any missing term.


Test Objectives
  • Demonstrate the ability to setup a long division with polynomials
  • Demonstrate the ability to divide polynomials with missing terms
  • Demonstrate the ability to check the result of a polynomial division
Dividing Polynomials with Missing Terms Practice Test:

#1:

Instructions: Find each quotient.

a) (x3 - 4x2 + 3) ÷ (x - 1)


#2:

Instructions: Find each quotient.

a) (8x3 + 61x2 - 9) ÷ (8x - 3)


#3:

Instructions: Find each quotient.

a) (6p3 - 43p2 + 45) ÷ (6p - 7)


#4:

Instructions: Find each quotient.

a) (3x5 + 5x4 - 2x3 - 36x2 - 60x + 24) ÷ (x3 - 12)


#5:

Instructions: Find each quotient.

a) (-10x4 + 6x3 - 4x2 + 8x - 2) ÷ (x3 - 12)


Written Solutions:

#1:

Solutions:

a) x2 - 3x - 3


#2:

Solutions:

a) x2 + 8x + 3


#3:

Solutions:

a)

p2 - 6p - 7 +  -4
6p - 7

#4:

Solutions:

a) 3x2 + 5x - 2


#5:

Solutions:

a)

-10x + 6  +  -4x2 - 112x + 70
x3 - 12