Algebra 1 - Quadratics

X Factor?

100

y = 3x² - 9x

y = 3x(x - 3)

200

f(x) = x² - 4x + 4

f(x) = (x - 2)²

300

p(x) = x² - x +56

p(x) = (x - 8)(x + 7)

400

g(x) = x² - 7x + 12

g(x) = (x - 3)(x - 4)

500

h(x) = 3x² - 6x - 9

h(x) = 3(x - 3)(x + 1)

"You complete me" - the square

100

0 = x² + 8x + 7

(x + 4)² = 9

x = -1, -7

200

x² + 5x = 3

(x + 5/2)² = 55/2

x = (-5 ± √37)/2

300

0 = x² + 6x +5

(x + 3)² = 4

x = -1, -5

400

0 = x² + 10x - 11

(x + 5)² = 36

x = 1, -11

500

0 = 2x² - 12x -5

(x - 3)² = 23/2

x = 3 ± (√46)/2

I've got a formula for that

100

g(x) = x² - 4x -21

x = 7, -3

200

p(X) = x² - 6x + 2

x = 3 ± √7

300

h(x) = x² + 1

No Solution (x = ± i)

400

f(x) = 3x² + 2x - 5

x = 1, -5/3

500

4x² - 5 =3 2x - 2

x = (1 ± √13)/4

"Honey, where are my roots?"

100

(x - 7)(x + 2) = 0

 x = -2, 7

200

x² - 2x - 3 = 0

x = 1, -3

300

x² + 7x -8

x = 1, -7

400

x² - 11x - 242 = 0

x = -11, 22

500

(x + 3)² + 10 = 0

No Real Zeros