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
Practice 7.2: Polynomials
Write each polynomial in standard form, if not already. Then tell the degree, leading coefficient and name
the type of polynomial.
SF: 4x^2 + 2x - 2
SF: It is already


Degree: 2; LC: 4
1)  x Degree: 5; LC: 2
2)  x  x
Quadratic
Quintic
SF: 10a - 5
3) b  b SF: It is already
4) a
Degree: 1; LC: 10
Degree: 3; LC: -4
Linear
Cubic
Sketch the graph of each function by making a table of values. Although it is not necessary, you may use
your calculator to help giude you.
5) f ( x) x   x 
y











 x



f(x)
-­‐3 -54
-­‐2 -20
-­‐1 -4
0 0
1 -2
2 -4
3 
7) f ( x) x   x   x  

x
-­‐3 -­‐2 -­‐1 



-­‐3 
-­‐2 





-­‐1  x
0 
1 
2 
3 




y



x

f(x)
78
14
4
6
2
-2
24
8) f ( x) x   x  


y

x
0

6) f ( x) x   x   x  
 x
0 1 
2 
3 f(x)
-77
-13
-3
-5
-1
3
-23
y

x

-­‐3 -­‐2 
-­‐1 










 x
0 1 2 3 f(x)
56
17
-2
-7
-4
1
2

Evaluate each function at the given value using direct substitution.
9)
10)
Worksheet by Kuta Software LLC

11) f (a)a  a  a at a
12) f (a)a  a  a  a at a
xxx
x =3
GRAPH
Below, the graph of 𝑓 𝑥 = 𝑥 + 3 − 2 is
sketched in bold. Its parent function
3.
𝑓 𝑥 = 𝑥 is represented by the thin curve.
Algebra Skillz
SIMPLIFY
18 + 45 + 54
SOLVE
5. Solve:
2𝑥 − 1 3𝑥 + 2 = 0
1. Describe the translation of the parent
graph. Left 3, Down 2
2. How does the translation relate to the
equation?
4. −2 12 + 2 20
6. Factor and solve.
𝑥 ! − 36𝑥 + 35 = 0
Worksheet by Kuta Software LLC
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