Quadratic Equations

Vocabulary

100

a mathematical expression consisting of two terms connected by a plus sign or minus sign.

binomial 

200

an algebraic expression of three terms.

trinomial

300

an algebraic expression of multiple terms.

polynomial 

400

a number which produces a specified quantity when multiplied by itself.

square root

500

the process of simplifying difficult problems into the sum or difference of two numbers using multiplication and addition.

distributive property

Factoring

100

Factor this expression.

x² +17x + 42

(x+14)(x+3)

200

Factor this expression.

x² + 5x - 24

(-3+x)(x+8)

300

Factor this expression.

x² - 12x + 35

(x-7)(x-5)

400

Factor this expression. 

x²+13+40

(x+8)(x+5)

500

Factor this expression: 

x²-12+27

(x-3)(x-9)

Multiplication

100

Multiply:

(x+7)(x+8) 

x² + 15x + 56

200

Multiply: 

(x+2)(x-6) 

x² - 4x -12

300

Multiply: 

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

-8x² + 2x + 15

400

Multiply: 

(8x³- 6x+10) - (-x³-10x+9)

9x³+4x+1

500

Multiply: 

(x+8)(x+5)

x²+13x+40

X-Intercepts

100

Find the coordinates: 

y=x²+6x+5

(-1,0) (-5,0)

200

Find the coordinates: 

y = x²+15x+56 

(-7,0) (-8,0) 

300

Find the coordinates:

y = x² - 4x - 12 

(-2,0) (6,0) 

400

Find the coordinates:

 y = x² + 17x + 72 

(-8,0) (-9,0) 

500

Find the coordinates:

5x²+25x-120=y

(-8,0)(3,0)

X-Intercepts p.2

100

Factor out this trinomial and find the two x's.  

3x² + 8x + 5 

x = -1 2/3  

x = -1  

200

Factor out this trinomial and find the two coordinate points. 

3x² - 9x - 30 = 0 

(5,0) (-2,0)

300

Factor this trinomial out and then find two coordinate points : 

4x² - 13x + 42 

(6, 0) (7,0) 

400

Factor by borrowing and then find the two coordinates. 

5x² + 8x - 13 

(1,0) (-2.6,0) 

500

Factor by borrowing and then find the two coordinates. 

8x²+36x+40 

(-2,0) (-2.5,0)