PRACTICE
Write each polynomial in factored form. Then sketch its graph, and state its degree & roots.
(
)(
)
(1)
(2)
FACTORED
FORM: __________________________
FACTORED
FORM: __________________________
PRACTICE
(3)
FACTORED
FORM: __________________________
DEGREE:
DEGREE:
DEGREE:
ROOTS:
ROOTS:
ROOTS:
(4) Consider the degree of each function above. Then consider each original equation.
(a) How is the degree related to
the function in standard form?
____________________________________________________
(b) How is the degree related to
the function in factored form?
____________________________________________________
PRACTICE
(5)
State the degree of each function. Then determine how many roots are real and complex.
y
y
(6)
y
(7)
x
y
(8)
x
x
x
DEGREE: ________
DEGREE: ________
DEGREE: ________
DEGREE: ________
# OF REAL ROOTS: ________
# OF REAL ROOTS: ________
# OF REAL ROOTS: ________
# OF REAL ROOTS: ________
# OF COMPLEX ROOTS: ________
# OF COMPLEX ROOTS: ________
# OF COMPLEX ROOTS: ________
# OF COMPLEX ROOTS: ________
PRACTICE
Consider the function
( )
(
)(
).
(9) What is the degree of this function? ________
How do you know? _________________________
(10) How can you determine where this function’s roots are? ___________________________________
(11) Solve for the roots of the function.
Identify whether the roots are real or complex.
PRACTICE
Consider the function
( )
(
__________
__________
__________
REAL / COMPLEX
REAL / COMPLEX
REAL / COMPLEX
)(
)(
(12) What is the degree of this function? ________
(13) Solve for the roots of the function.
Identify whether the roots are real or complex.
).
How do you know? ________________________
________
REAL / COMPLEX
________
REAL / COMPLEX
________
REAL / COMPLEX
________
REAL / COMPLEX
________
REAL / COMPLEX
Solve each equation.
REVIEW
(14)
(15)
______
√
(16)
______ ______
|
(17)
____________
|
______ ______
Find the roots of each parabola.
REVIEW
(18)
(19)
(
,
) (
,
)
(20)
(
,
Consider the parabola
REVIEW
(21) Find
its roots.
(
,
) (
,
) (
,
)
(
,
) (
,
.
(22) Sketch the parabola and label the
roots, including one additional point.
)
REVIEW
(23) Which point represents the minimum value of the parabola
?
a) (6,14)
c) (—3,—5)
b) (3,—23)
d) (3,5)
(24) Solve the system:
REVIEW
_________________
(25) Circle all of the numbers that represent solutions to the equation
REVIEW
—3
3
—3i
3i
—6
6
(
—6i
)
6i
0
REVIEW
(26) The Fashion Club sold 250 items during Food Day
and made $565. The club sold smoothies for $2 apiece and ice cream
bars for $2.50 apiece. How many ice cream bars did the club sell?
CHALLENGE
__________
(27) Consider the function ( )
Write the equation in factored form.
Then determine the locations of its roots, indicating whether each root is real or complex.
EQUATION:
ROOTS:
)