NAME:
DATE:
Algebra 2: Homework 8 – 6
Divide Using Synthetic Division.
) (
)
1) (
2) (
)
(
)
#7
#7
Use the Remainder Theorem to find the remainder for each division. State whether the binomial is a
factor of the polynomial.
) (
)
) (
)
3) (
4) (
#8,9
5) (
)
(
)
6) (
)
(
#8,9
7) Use synthetic division to find all the factors of
if one of the factors is
#7
)
#8,9
#8,9
8) Determine algebraically if the following
function is odd, even or neither one.
( )
#3,4
9) Find the value of
so that
has a remainder of 16.
#7,9
10) The graph of the quadratic function, f(x), is shown to the right. What is the remainder when f(x)
is divided by x – 2 ?
(1)
(2)
(3)
(4)
#9
11) If ( )
is a factor of ( ), find the value of .
(1)
(2)
(3)
(4)
#7,8,9
9
12) Factor the expression
the equation
and explain how your answer can be used to solve
.
Explain why the solutions to this equation are the same as the x-intercepts of the graph of the function
( )
.
#5,1
13) Sketch a graph of the function ( )
(
)(
)(
) by finding the zeros and
determining the sign of the values of the function between zeros. #2
#2
Review:
14) Apply the properties of exponents to verify
that the given statement is an identity.
15) Factor completely:
for integer values of
Unit 3
Unit 3