Solving Quadratics by Factoring

Vocabulary

100

An algebraic statement that has an equal sign.

What is an equation?

200

An algebraic statement that does not have an equal sign.

What is an expression?

300

A second degree polynomial that is of the form below and a does not equal to 0.

ax^2+bx+c=0 

What is a quadratic equation?

400

The method we are using in class to factor our quadratic equations.

What is the X-Method?

500

The highest number that we can divide a number or an equation by.

What is the greatest common factor, GCF?

Find a, b and c

100

a, b and c in the quadratic expression below. 

x^2+x+1=0

What is a = 1, b - 1 and c = 1?

200

a, b and c in the quadratic expression below. 

2x^2+7x+9=0

What is a = 2, b = 7 and c = 9?

300

a, b and c in the quadratic expression below 

-x^2 +9x-3=0

What is a = -1, b = 9 and c = -3

400

a, b and c in the equation below 

4x^2-9x=0

What is a = 4, b = -9 and c = 0?

500

a, b and c in the quadratic equation below.

7x^2-9=0

What is a = 7, b = 0 and c = -9?

Solve for x when a = 1

100

The value of x in the equation 

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

What is x = 2 and -3?

200

The value of x in the quadratic equation 

x^2=81

What is x = 9 and -9?

300

The value of x in the quadratic equation 

x^2-11x+24=0

What is x = 3 and 8?

400

The value of x in the quadratic equation 

x^2+8x+15=0

What is x = -3 and -5?

500

The value of x in the quadratic equation 

x^2+2x-35=0

What is x = 5 and -7?

Solve for x when a does not equal 1

100

The value of x in the quadratic equation 

2x^2=8

What is x = 2 and -2?

200

The value of x in the quadratic equation 

(2x-4)(3x+9)=0

What is x = 2 and -3?

300

The value of x in the quadratic equation 

7x^2 - 6x=0

What is x = 0 and 6/7?

400

The value of x in the quadratic equation

2x^2+10x-12=0

What is x = 1 and -6?

500

The value of x in the quadratic equation

3x^2-16x-12=0

What is x = 6 and -2/3?

Solve for x multi-step

100

The value of x in the quadratic equation

5x^2-3x-2=4x^2-3x+14

What is x = 4 and -4?

200

 The value of x in the quadratic equation

3x^2 +7x -4 =2x^2+6x-4

What is x = 0 and -1?

300

The value of x in the quadratic equation

-4x^2-3x+9=-5x^2-6x+19

What is x = 2 and -5?

400

The value of x in the quadratic equation

3x^2=2x^2-6x-9

What is x = -3?

500

The value of x in the quadratic equation

5x^2+x-15=-x^2

What is x = -5/3 and 3/2?