Here is a worksheet that i need help on, please post work.List all possible rational zeros for each polynomial function.

P x 3x 3 2x 2 5x 2

R x 12x 3 17x 2 27x 30

Use Descartes rule of signs to describe the roots for each polynomial function.

m( x ) x 3 3 x 2 18 x 40

w ( x ) x 4 4 x 3 7 x 2 20 x 21

Find an upper bound and a lower bound for the zeros of the following polynomial functions.

h x x 4 2x 3 11x 2 14x 24

k x 18x 3 9x 2 28x 12

Factor each polynomial completely over the set of complex numbers.

a x 2x 4 3x 3 24x 2 13x 12

c x 2x 3 5x 2 12x 5

Write a polynomial that has the given numbers as roots.

3, 2 3

5, 3 2i, 1 3i

Use the graph to guess one zero for the polynomial whose graph is shown. Then factor completely.

f x x 3 6x 2 6x 8

v x 3 x 3 2x 2 3 x 2

Solve the quadratic equation by the method of square roots: x 2 1 0 .

Solve each equation over the set of complex numbers.

2x 4 3×3 24x 2 13x 12 0

x3 7x 2 17x 15 0

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