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) = ax³ + bx² + 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 .

Factor the following polynomial functions completely.
Exact answers only!!! No Decimal approximations allowed!

8) FACTOR : f (x) = x⁵ + 2x⁴ - 18x³ - 4x² + 49x - 30

9) FACTOR : f (x) = 6x⁴ - 7x³ - 73x² + 14x + 24

List the real zeros of the following polynomial. Exact answers only!!! No Decimal approx.

10) f (x) = x⁴ + 2x³ - 10x² - 14x + 21