Consider the polynomial\

x^(3)+3x^(2)-3x-9

\ (a) Check that

x=-3

is a root (recall that this just means plug in -3 for

x

and make sure you\ get 0 . Determine the associated factor of

x^(3)+3x^(2)-3x-9

(recall that if

x=a

is a root then\

(x-a)

is a factor.\ (b) By using polynomial division and the factor from part (a), find the other, second degree, factor.\ (c) Factor

x^(3)+3x^(2)-3x-9

completely, It has three factors.\ (d) Give all three roots of

x^(3)+3x^(2)-3x-9

x3+3x23x9 (a) Check that x=3 is a root (recall that this just means plug in -3 for x and make sure you get 0 . Determine the associated factor of x3+3x23x9 (recall that if x=a is a root then (xa) is a factor. (b) By using polynomial division and the factor from part (a), find the other, second degree, factor. (c) Factor x3+3x23x9 completely. It has three factors. (d) Give all three roots of x3+3x23x9