By Factoring
Factoring: +/- of Squares
Radicals w/Real #'s
Radicals w/ Imaginary #'s
Using the Q.F.
100

Solve the equation by factoring. SHOW ALL WORK.

x2 − 9x + 18 = 0


x = 3, x = 6

100

Factor the expression as the multiplication of two binonmials.

4n2 −49

(2n+7)(2n−7)


100

Simplify "radical 20".


2 radical 5

100

Simplify "radical negative 4".

2i

100

Solve for all possible values of the variable using the Quadratic Formula. SHOW ALL WORK.

v2 + 2v − 8 = 0

2, -4



200

Solve the equation by factoring. SHOW ALL WORK.

x2 = 11x − 28


x = 7, x = 4

200

Factor the expression as the multiplication of two binonmials.

x2 −9y2


(x + 3y)(x − 3y)


200

Simplify "radical 45".


3 radical 5

200

Simplify "radical negative 63".

3i radical 7

200

Solve for all possible values of the variable using the Quadratic Formula. SHOW ALL WORK.

b2 − 4b − 14 = −2


6, -2

300

Solve the equation by factoring. SHOW ALL WORK.

x2 + 17x + 49 = 3x


x = -7

300

Factor the expression as the multiplication of two binonmials.

9x2 −1


(3x+1)(3x−1)


300

Simplify "radical 72". 

6 radical 2

300

Simplify "radical negative 50".

5i radical 2

300

Solve for all possible values of the variable using the Quadratic Formula. SHOW ALL WORK.

x2 - 6x + 12 = 0


3 plus or minus i radical 3

400

Solve the equation by factoring. SHOW ALL WORK.

k2 + 15k = −56


x = -8, x = -7

400

Factor the expression as the multiplication of two binonmials.

49x2 − 25y2


(7x+5y)(7x−5y)


400

Simplify "radical 108".

6 radical 3

400

Simplify "radical negative 128".

8i radical 2 

400

Solve for all possible values of the variable using the Quadratic Formula. SHOW ALL WORK.

9x2 - 4x + 2 = 0 


2 plus or minus i radical 14 ALL over 9

500

Solve the equation by factoring. SHOW ALL WORK.

6k2 − 42k + 72 = 0


x = 3, x = 4

500

Factor the expression as the multiplication of two binonmials.

54v2 − 6u2


6(3v+u)(3v−u)


500

Simplify "radical 150".

5 radical 6

500

Simplify "radical negative 343".

7i radical 7

500

Solve for all possible values of the variable using the Quadratic Formula. SHOW ALL WORK.

10x2 - 4x + 10 = 0


1 plus or minus 2i radical 6 ALL over 5

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