Polynomial Worksheets
ADVERTISEMENT
1
2Write each polynomial in factored form. Then sketch its graph, and state its degree & roots.
PRACTICE
(
) (
)
(1)
(2)
(3)
FACTORED
FACTORED
FACTORED
FORM: __________________________
FORM: __________________________
FORM: __________________________
DEGREE:
DEGREE:
DEGREE:
ROOTS:
ROOTS:
ROOTS:
PRACTICE
(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?
____________________________________________________
State the degree of each function. Then determine how many roots are real and complex.
PRACTICE
y
y
y
y
(5)
(6)
(7)
(8)
x
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: ________
Consider the function
( )
(
)(
).
PRACTICE
(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.
__________
__________
__________
REAL / COMPLEX
REAL / COMPLEX
REAL / COMPLEX
( )
(
)(
)(
).
Consider the function
PRACTICE
(12) What is the degree of this function? ________
How do you know? ________________________
(13) Solve for the roots of the function.
Identify whether the roots are real or complex.
________
________
________
________
________
REAL / COMPLEX
REAL / COMPLEX
REAL / COMPLEX
REAL / COMPLEX
REAL / COMPLEX
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education