Solving Quadratic Equations by Factoring

Factoring

100

Factor: x² + 6x + 5 

(x+1)(x+5)

200

Factor: a² - 13a + 22

(a-11)(a-2)

300

Factor: p² + 2p + 4

cannot be factored / prime

400

Factor: x² - 7x - 18

(x-9)(x+2)

500

Factor: x² + 9x - 36

(x+12)(x-3)

Factoring with special patterns

100

Factor: x² - 36

(x+6)(x-6)

200

Factor: x² - 24x + 144

(x-12)²

300

Factor: x² + 8x + 16

(x+4)²

400

Factor: n² + 14n + 49

(x+7)²

500

Factor: z² - 121

(z-11)(z+11)

Solving equations

100

Solve: x² - 11x + 30 = 0

x = 5, 6

200

Solve: a² - 49 = 0 

a = -7, 7

300

Solve: c² + 5c + 4 = 0 

c = -4, -1

400

Solve: t² + 10t + 25 = 0 

t = -5

500

Solve: z² - 3z = 54 

z = -6, 9

Finding Zeros

100

Find the zero(s) of the function:

f(x) = x² - 8x + 16

x = 4

200

Find the zero(s) of the function:

f(x) = x² + 7x - 30

x = -10, 3

300

Find the zero(s) of the function:

g(x) = x² - 8x

x = 0, 8

400

Find the zero(s) of the function:

h(x) = x² - 25

x = -5, 5

500

Find the zero(s) of the function:

g(x) = x² + 19x + 84

x = -12, -7

More finding zeroes

100

Find the zero(s) of the function:

f(x) = 4x² - 19x - 5

x = ^-1/₄, 5

200

Find the zero(s) of the function:

h(x) = 5x² - 27x - 18

x = ^-3/₅, 6

300

Find the zero(s) of the function:

g(x) = 11x² - 19x - 6

x = ^-3/₁₁, 2

400

Find the zero(s) of the function:

y = 5x³ - 25x² +20x

x = 0, 1, 4

500

Find the zero(s) of the function:

g(x) = 12x² + 5x - 7

x = -1, ⁷/₁₂