Name __________________________________________ PreCalc 2.3-2.5 Quiz Review

Section 2.3 – Polynomial Functions and their graphs (No calc)

Use the given functions to answer the questions. Then, sketch the graph for the function.

1) 23 5 1( ) 2( 5) ( 2) xf x x x

a) Degree: ________ an = + or -

b) end behavior:

c) y – intercept: _________

d) x – intercepts (cuts through or turns around?)

2) 2 1( ) 4( 5) ( 2)f x x x

a) Degree: ________ an = + or -

b) end behavior:

c) y – intercept: _________

d) x – intercepts (cuts through or turns around?)

3) 4 2( ) 16f x x x

a) Degree: ________ an = + or -

b) end behavior:

c) y – intercept: _________

d) x – intercepts (cuts through or turns around?)

4) 3 25 25 125( ) x x xf x

a) Degree: ________ an = + or -

b) end behavior:

c) y – intercept: _________

d) x – intercepts (cuts through or turns around?)

Section 2.4 – Dividing Polynomials: Remainder and Factor Theorems (No Calc)

Divide using long division or synthetic division.

5) 3 2( 4 31 70) ( 2)x x x x 6) 3 25( 1 10) ( 5)x x x x

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7) 3 2(4 8 13 6) (2 1)x x x x 8) 3(8 14 6) (4 2)x x x

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Section 2.5 – Zeros of Polynomial Functions (No Calc)

Find all possible rational zeros of the function below.

9) 3 2( ) 3 6 1 4f x x x x 10) 3 2( ) 6 1 16f x x x x

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For 11 & 12 complete the following.

Use the given information to factor the polynomial. Find the necessary information to sketch

the graph of the function. (Doesn’t have to be perfect!)

11) 3 2( ) 16 20 5f x x x x factor x

12) 3 2( ) 3 8 4 1f x x x x factor x