PAP Algebra II Chapter 6 HW 6.1
1.
Name__________________________________ Per. _______
f ( x)  ( x  2)( x  1)( x  3)
2.
Standard form:
f ( x)  ( x  2 3 )( x  2 3 )
Standard Form:
Zeros: {
}
Zeros: {
}
Classify by degree:
Classify by degree:
Classify by # of terms:
Classify by # of terms:
Classify each polynomial by degree and the number of terms.
3. 3x 3  5 x 3  1
Classify by degree:
4.  x 5
Classify by degree:
Classify by # of terms:
5. x 4  x 3  x
Classify by degree:
Classify by # of terms:
Classify by # of terms:
Classify by # of terms:
6.  4 x  3x  3x 2
Classify by degree:
Match the following functions with their graphs.
7. x 3  5 x
______
10.  x 5  3x 3  1 ______
8.  x 4  x  4
11.
x 5  3x 3  2
______
______
9.
12.
 x 3  2x 2
______
x 4  4 x 2  x _____
13. Graph:
f ( x)  x  2  5
Domain:
14. Given:
f ( x)  2 x 2  4 x  3
a. Vertex:
Range:
b. Axis of symmetry:
c. Y-int:
d. Find f(-3)
Find f(2)
15. Graph a cubic function that has a negative leading coefficient of
1
, real roots at { 3, -5 } and a y10
15
). Hint: imaginary and irrational roots have to come in pairs! Therefore the 3rd root has to
2
be a repeat of one of the given roots. It’s a cubic function so it HAS to have 3 roots.
intercept of ( 0,
What is the equation in factored form?
FACTOR COMPLETELY. Do NOT Solve.
16. 18 x 2  8
17. 2 x 2  5 x  3
18. 2 x 2  4 x  70
19. 8 x 3  27