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Finding Zeros of Polynomials
Give a possible factorization of the following polynomials. Do NOT multiply out the factors!
4) Sketch a Graph of a polynomial with the given zeros and corresponding
multiplicities.
(note: the graph is not unique )
x = 5, of multiplicity 2
x = 1, of multiplicity 1
x = 2, of multiplicity 3
x = 4, of multiplicity 2
5) Find the zeros of the following polyno mial function and state the multiplicity of each zero.
f (x) = x (x  1)^{2} (2x + 1) (x + 4)^{3}
6) Find a polynomial function of degree 3 with the given
zeros.
Write your answer in the form: f (x) = ax^{3} + bx^{2} + cx + d
x = 2 , x =  1 , x = 2
7) Find a polynomial function ( factored form ) of degree 3
which has the corresponding table of values to the right .
x  y 
4 3 2 1 0 1 2 3 4 
18 0 4 0 6 8 0 24 70 
Factor the following polynomial functions
completely.
Exact answers only!!! No Decimal approximations allowed!
8) FACTOR : f (x) = x^{5} + 2x^{4}  18x^{3}  4x^{2} + 49x  30
9) FACTOR : f (x) = 6x^{4}  7x^{3}  73x^{2} + 14x + 24
List the real zeros of the following polynomial. Exact answers only!!! No Decimal approx.
10) f (x) = x^{4} + 2x^{3}  10x^{2}  14x + 21
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