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 Test:
#1:
Instructions: Find each quotient.
a) (x^{3} - 4x^{2} + 3) ÷ (x - 1)
#2:
Instructions: Find each quotient.
a) (8x^{3} + 61x^{2} - 9) ÷ (8x - 3)
#3:
Instructions: Find each quotient.
a) (6p^{3} - 43p^{2} + 45) ÷ (6p - 7)
#4:
Instructions: Find each quotient.
a) (3x^{5} + 5x^{4} - 2x^{3} - 36x^{2} - 60x + 24) ÷ (x^{3} - 12)
#5:
Instructions: Find each quotient.
a) (-10x^{4} + 6x^{3} - 4x^{2} + 8x - 2) ÷ (x^{3} - 12)
Written Solutions:
Solution:
a) x^{2} - 3x - 3
Solution:
a) x^{2} + 8x + 3
Solution:
a)
p^{2} - 6p - 7 + | -4 |
6p - 7 |
Solution:
a) 3x^{2} + 5x - 2
Solution:
a)
-10x + 6 + | -4x^{2} - 112x + 70 |
x^{3} - 12 |