Unit 3 Review

Factoring

100

Factor completely.

4x²y³+ 26x⁴y

2x²y(2y² + 13x²)

200

Factor completely.

9n² + 39n + 36

3(3n + 4)(n + 3)

300

Solve by factoring.

r² + 12 = -7r

-4, -3

400

Solve by factoring. 

3v² + 7v = 40

8/3, -5

500

Factor completely. 

36x² - 100y²

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

Completing the square

100

Find the missing number to complete the square. (no calculator)

x² - 11x + ? 

121/4

200

x² − 12x + 11 = 0

{11, 1}

300

n² = 18n + 40

{20, −2}

400

x² − 10x + 26 = 8

5 + square root 7

5  - square root  7

500

Write in vertex form.            

y = x² + 14x + 59

y = (x + 7)² + 10

Solve using the Quadratic Formula

100

m² − 5m − 14 = 0

{7, −2}

200

b² − 4b + 4 = 0

{2}

300

Determine the type and number of solutions.

2x² − 3x − 5 = 0

2 real

400

Determine the type and number of solutions. 

9n² = -4 + 7n

2 imaginary 

500

Solve using the Quadratic Formula.

-2x² - 4x = 3

x = [-2 + i sqrt(2)]/2

x= [-2 - i sqrt(2)]/2

☠Pick your Poison (choose method)

100

Solve.

x² + 10x + 25 = 9

x= -8 or x = -2

200

Solve

(4x + 1)² - 8 = 0

x = [-1 + 2 sqrt(2)]/ 4

or

x = [-1 -2 sqrt(2)] / 4

300

4x² + 25 = 125

x= 5 or x = -5

400

Find the zeros.

f(x) = 3(x + 7)² - 24

x = -7 + 2 square root of 2

or

x = -7 - square root of 2

500

Solve. 

-20 = 5 + 16x²

5/4 i 

-5/4 i 

Wild Card

100

Simplify.

sqrt(-32)

4i sqrt(2)

200

Simplify.

(4x² + x + 3)(6x - 1) 

24x³ + 2x² + 17x - 3

300

Simplify.

(5 - 4i) - (6 + 2i)

-1 - 6i 

400

Simplify.

(2 - 4i)(5 + 2i)

18 - 16i 

500

Write in vertex form.

y = -2x² + 8x - 14 

y = -2(x - 2)² - 6