FACTORING

Factoring Trinomials

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor 5n²+26n+5

(5n+1)(n+5)

400

Factor 3x²+7x+4

(3x+4)(x+1)

500

Factor 6x²+x-2

(2x-1)(3x+2)

Factor Completely

100

9x²-1

(3x-1)(3x+1)

200

x²+16x+64

(x+8)²

300

2x² + 16x+14

2(x+7)(x+1)

400

Factor 4m³+10m²-36m

2m(m-2)(2m+9)

500

Factor 30t³+50t²-20t

10t(3t - 1)(t + 2)

Zero Product Property

100

(v+7)(v-8)=0

What are the x-intercepts? Write as points

(-7, 0) and (8,0)

200

What does the Zero Product Property help you find?

The x-intercepts, roots, or zeros of a parabola.

300

What are two other names of the x-intercepts of a parabola?

Roots and Zeros

400

2(3x+5)(x+5)=0

Find the roots of the parabola.

(-5,0)(-1.67, 0) or (5/3, 0)

500

x²+12x+30=3

Use ZPP to solve.

(-9,0)(-3,0)

Multiplying Binomials

100

(x+1)(x-1)

x²-1

200

(2x+4)(3x-1)

6x²+10x-4

300

4(2-a²)

8-4a² or -4a²+8

400

4x²(x²-2)

4x⁴-8x²

500

(xy)(3x⁴-2y+ z⁵)

3x⁵y-2xy²+xyz⁵

What form is this?

100

y= x²+2x -4

Standard Form

200

y=(5x-1)(x + 6)

Factored Form

300

y=(x-1)²+5

Graphing (Vertex) Form

400

Given this equation, what is the vertex? y=(x-1)²+5

(1,5)

500

y=a(x-h)²-k

Graphing (vertex) Form