1/7 Degree/Multiplicity Practice

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CP ALG II 1/7/16
Polynomial Practice
1a. Write a general equation for a function
that has these characteristics.
1b. If (3, 9) is a point on the graph,
find the equation of the function.
3.
Name:______________________
2a. Write a general equation for a function
that has these characteristics.
2b. If (0, 16) is a point on the graph,
find the equation of the function.
What is the minimum possible degree of the polynomial graphed below?
4.
The graph shows an eighth degree polynomial. List the polynomials zeros with their
multiplicities.
5.
What is the multiplicity for x = 5 given that the graph shows a fifth degree polynomial with all
real number roots, and the root x = -5 has a multiplicity of 2?
6.
Which of the following graphs could represent the polynomial f x = a x - b
() (
) ( x - c) ?
2
3
7.
Find the seventh-degree polynomial corresponding to the following graph, given that one of the
zeros has a multiplicity of 3.
8.
æ 1 ö
Sketch a graph of the following polynomial. f x = - ç
x +5
è 5600 ÷ø
9.
Given g x = 2x 3 +3x 2 -11x -6
()
()
a. Make a list of all possible rational zeros.
b. Factor completely.
c. Sketch. (Include all intercepts)
(
) ( x +1)( x - 4) ( x - 7)
2
3
(
)
()
2. Given 4, 0 is an x-intercept of multiplicity 2 for p x = x 4 -8x 3 +15x 2 +8x -16 ,
a. factor completely
b. Sketch. (Include all intercepts)
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