Factoring Quadratics I
Factoring Quadratics II
Factoring Quadratics III
Curve Sketching
Other/Tips
100
Factor x2+8x+12
(x+6)(x+2)
100
Factor 2x2+7x+3
(2x+1)(x+3)
100
Factor 3x2+12x
3x(x+4)
100

A parabola will look like this if a is negative.

What is open downwards with the vertex as a maximum?

100
I can do this to check my work after factoring

What is, FOIL?

200
Factor m2-11m+18
(m-9)(m-2)
200
Factor 5n2+26n+5
(5n+1)(n+5)
200
Factor 4x2+10x
2x(2x+5)
200

To find the y-intercept you do this.

Plug in 0 for x or use the c value

200

I must do this after factoring to find the x-intercepts

Set both factors equal to zero and solve

300
Factor 2x2+10x-48
2(x+8)(x-3)
300
Factor 3x2-10x+7
(3x-7)(x-1)
300
Factor 4x2-9
(2x-3)(2x+3)
300

To find x-intercepts, you will have to use this process.

What is factoring?

300

These algebra skills are essential for all of math, and especially factoring.

What is, combining like terms and distribution?

400
Factor 2y2-13y-7
(y-7)(2y+1)
400
Factor 7x2-36x+5
(7x-1)(x-5)
400
Factor 18x2+32x+6x
2x(9x+19)
400

To find the coordinates of the turning point, I use this formula.

-b/2a

Remember the turning point is the lowest or highest point on the parabola

400

I must always check for this first before factoring in other ways

Greatest common factor

500
Factor x2-13x-30
(x+2)(x-15)
500
Factor 2x2-12x+10
2(x-1)(x-5)
500
9x2-49
(3x-7)(3x+7)
500

Determine the turning point of this function y = 2x^2 - 12x + 16

What is -3

500

When a quadratic function is equal to zero, I should do this.

Factor