Name: 
 

03-04 Sample Quiz - Rational Root & Remainder Theorem



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Use Synthetic Division to evaluate mc001-1.jpg when x = 3


a.
202
c.
-218
b.
-23
d.
247
 

 2. 

Use Synthetic Division to find the remainder of mc002-1.jpg
for the factor (x –  3).


a.
– 4
c.
36
b.
12
d.
42
 

 3. 

Consider mc003-1.jpg

If Kelly used sythetic division to evaluate mc003-2.jpg such that it might look like the following:

mc003-3.jpg

Using the Remainder or Factor Theorem, which of the below must be true?
a.
mc003-4.jpg
c.
mc003-6.jpg
b.
mc003-5.jpg
d.
mc003-7.jpg
 

 4. 

Consider mc004-1.jpg 

Using long division Jason worked out  mc004-2.jpg
mc004-3.jpg
Based on this work and the Remainder or Factor Theorem which statement is true below?
a.
mc004-4.jpg
c.
mc004-6.jpg
b.
mc004-5.jpg
d.
mc004-7.jpg
 

 5. 

List the possible rational zeros of the function using the Rational Roots Theorem.

mc005-1.jpg


a.
±3 ±9
c.
±1, ±mc005-3.jpgmc005-4.jpg, ±9     
b.
±1, ±mc005-2.jpg, ±3, ±9     
d.
±1, ±3, ±9
 

 6. 

Based on the Rational Root Theorem which of the following is NOT one of the  possible  rational factors of  mc006-1.jpg?


a.
-8
c.
-mc006-3.jpg
b.
mc006-2.jpg
d.
mc006-4.jpg
 

 7. 

Find all of the solutions of the polynomial equation:

mc007-1.jpg = 0


a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 



 
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