Quadratics - Multiplying and Factoring

Vocabulary

100

The lowest or highest point on a parabola.

Vertex

200

The line that passes through the vertex and divides a parabola into two symmetric parts.

Axis of Symmetry

300

The standard form of a quadratic equation.

ax²+bx+c

400

The u-shaped graph created by a quadratic function.

Parabola

500

These are three names for the place or places a parabola crosses the x-axis.

X-intercept, Zeros, Solutions

Multiplying Polynomials

100

(-3x)(x-4)

-3x²+12x

200

(x+5)(x-4)

x²+x-20

300

(3x+2)(x-3)

3x²-7x-6

400

(-x-6)(2x+1)

-2x²-13x-6

500

(x+3)(x²-2x+1)

x³+x²-5x+3

Factoring: a=1

100

x²+8x+12

(x+6)(x+2)

200

x²-11x+18

(x-9)(x-2)

300

x²+5x-24

(x+8)(x-3)

400

x²-6x-7

(x-7)(x+1)

500

x²-x-56

(x-8)(x+7)

Factoring: c>0

100

2x²+7x+3

(2x+1)(x+3)

200

5x²+26x+5

(5x+1)(x+5)

300

3x²-10x+7

(3x-7)(x-1)

400

7x²-36x+5

(7x-1)(x-5)

500

2x²-9x=-10

(2x-5)(x-2)

Find the Solutions

100

(x+2)(x-3)

x=-2 and x=3

200

(2x+3)(x-6)

x=-3/2 and x=6

300

(4x+3)(5x-2)

x=-3/4 and x=2/5

400

3x²-20x-7=0

x=7 and x=-1/3

500

6x²+x=15

x=-5/3 and x=3/2