Solving Polynomial Equations by Factoring

x = 0, x = 7/2

x = -2/7, x = 2/7

x = 0, x = 2/7

x = 2, x = 7

x = -2, x = 1

x = 2, x = -1

x = 0, x = 2

x = 0, x = 1

Get factored form

Write down: a=1, b=6, c=-13

Make it equal to 0 by subtracting 3 on each side

Type it all in a calculator.

x = 2, x = 3

x = -2, x = -3, x = 3

x = -2, x = 2, x = -3, x = 3

You can't factor........

{ -5/2, -2/5 }

{ -5/2, 2/5 }

{ 5/2, 2/5 }

{ 5/2, -2/5 }

x=-4, x=3, x=-2

x=-4, x=3, x=2

x=-4, x=3, x=2

x=4, x=3, x=2

x = -5 or x = -7

x = 5 or x = 7

x = -35 or x = -1

x = -9 or x = -4

-6, 5/2

-5/2, 6

6, 2

5, -6

$$\left\{\pm1,\ \pm2\sqrt[]{2}\right\}$$

$$\left\{\pm1,\ \pm2i\sqrt[]{2}\right\}$$

$$\left\{1,\ 8\right\}$$

$$\left\{\pm1,\ \pm8\right\}$$