Discussion Board Review Quiz: Week 5 (Sections 2.4-2.8 Review)
Try all the problems on your own to help work on retention of material as we progress. Post a solution
to 1 part of a question with rationale and/or work to the discussion board. You must post to the
discussion board before you can see other posts, so I expect a number of repeated solutions. You should
use the integrated tools in the discussion board to type your mathematics appropriately and clearly.
1. Divide using long division. State the quotient,
()qx
, and the remainder,
()rx
.
32
2 9 19 3
2
x x x
x
25() 92q x x x
2
(1
)2x
rx
2. Divide using synthetic division.
5 4 3 2 4 3 2
3 2 2 2 1 59
3 4 9 16 30
22
x x x x x x x x x
xx
3. Use synthetic division and the remainder theorem to find the indicated function value.
32
(433 ;) 6 ( 5)xx xf fx
So,
(5) 454f
4. Use synthetic division to divide
32
4 47 21) 0( xf x x x
by
5x
. Use the result to find all
zeros of
f
.
242( ) ( 5)( 7)) ( 5) ( 6)( x x x xf x x x
Zeros occur at
7,5,6x
5. Solve the equation
32
13 47 35 0xxx
given that 1 is a zero of
32
13( 3) 47 5xf x x x
.
Solutions are
1,5,7x
6. Use the Rational Zero Theorem to list all possible rational zeros for the given function.
432
( ) 3 16 18 14 6xfx xx x
1,1, 2,2, 3,3, 6 1 1 2 2
, , ,
,3
6, 3
