Solving Trinomials with Factoring

Solving trinomials a =1

100

Factor and solve the trinomial: 

0 = x²+8x+12

0 = (x+6)(x+2)

x = -6 and -2

200

Factor and solve the trinomial: 

0 = m² - 11m + 18

0 = (m-9)(m-2)

m = 9 and 2

300

Factor and solve the trinomial:

y = x² + 5x - 24

0 = (x+8)(x-3)

x = -8 and 3

400

Factor and solve the trinomial: 

y = z² - 6z - 7

0 = (z - 7)(z + 1)

z = -1 and 7

500

Factor and solve the trinomial: 

y = x² - 13x - 30

0 = (x+2)(x-15)

x = -2 and 15

Solving trinomials a >1

100

Factor and solve : 2c² - 14c - 36 = 0

2 (c - 9)(c + 2) = 0

c = -2 and 9

200

Factor and solve: 4x² + 32x + 64 = 0

4 (x + 4) (x + 4) = 0

x = -4 (twice)

300

Factor and solve: 6x² - 11x + 4 = 0

(3x - 4)(2x - 1) = 0

x = 4/3 and 1/2

400

Factor and solve: y = 5t² + 12t - 9 

0 = (t + 3)(5t - 3)

t = -3 and 3/5

500

Factor and solve: y = 10x² + 24x +8

0 = 2 (5x+2) (x+2)

x = -2/5 and -2

Find the vertex:

100

What is the vertex for the parabola of:

y = (x - 4)(x - 6)

Vertex: (5, -1)

200

What is the vertex for the parabola of:

y = (x - 1)(x - 5)

Vertex: (3, -4)

300

What is the vertex for the parabola of:

y = -(x + 2)(x + 6)

Vertex: (-4, 4)

400

What is the vertex for the parabola of:

y = -(x - 5)(x - 9)

Vertex: (7, 4)

500

What is the vertex for the parabola of:

y = (x + 2)(x - 8)

Vertex: (5, -21)

REVIEW

100

Solve: 3x - 7 = 11

x=6

200

Solve: 2x + 8 = 5x - 7

x=5

300

Determine the product of (4x + 4)(5x - 5).

 20x² - 20

400

Determine the product of (3x + 4)(2x + 5).

6x²+23x+20

500

Determine the product of (x - 4)(4x + 7).

4x² - 9x - 28