Factoring Polynomials, Division, Rational Zeros Thm.

(k+6)(k-6)

(k-6)²

(k+6)²

(k+6)²(k-6)²

y = ^_(x + 2)(x - 1)²

y = -(x - 2)(x + 1)²

y = (x - 2)(x + 1)²

y = -x³

-1

-3

-120

4

 $Possibilities:\ \pm1,\ \pm\frac{1}{3}$   $Rational\ zeroes:\ -1\ multiplicity\ 2,\ -\frac{1}{3}$ 

 $Possibilities:\ \pm1,\pm\frac{1}{3}$   $Rational\ Zeroes:0,\ -1\ multiplicity\ 2$ 

 $Possibilities:\ \pm1,\ \pm5,\ \pm\frac{1}{2}$   $Rational\ Zeroes:\pm2,\ 5,\ -1$ 

 $Possibilities:\ \pm1,\pm\frac{1}{3}$   $Rational\ Zeroes:-\frac{1}{5},\ -1\ multiplicity\ 2$ 

(x + 2)(x - 1)(x - 5)

(x + 2)(x - 1)(x + 5)

(x - 2)(x - 1)(x + 5)

(x - 2)(x + 1)(x + 5)