Chapter 10 Review

Factoring

100

How many factors doe a quadratic have?

2

200

16x² + 12x

4x(4x + 3)

300

3x² + 12x - 15

3(x + 5)(x - 1)

400

2x² - 15x + 7

(2x - 1)(x - 7)

500

6x² - 5x - 25

(3x + 5)(2x - 5)

Multiplying

100

3x(4x + 5)

12x² +15x

200

(3x - 1)(7x + 2)

21x² - x - 2

300

(3x + 5)(x² + 3x - 4)

3x³ +14x² + 3x - 20

400

(4x² + 2x -7)(8x + 9)

32x³ + 52x² - 38x - 63

500

(x² - 3x + 4)(x² - 9x - 10)

x⁴ - 12x³ + 21x² - 6x - 40

Solve by Square Roots

100

x² = 49

plus or minus 7

200

x² = 20

plus of minus the square root of 20

300

x² + 5 = 30

plus of minus 5

400

5x² = 40

plus or minus the square root of 8

500

3x² + 15 = 111

plus or minus the square root of 32

Solve by Factoring

100

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

m = -3

m = 2

200

x² + 5x + 4= 0

x = -4

x = -1

300

2x² + 3x - 5

x = -5/2

x = 1

400

3x² + 17x + 10 = 0

x = -5 

x = -2/3

500

28x² - 2x - 6 = 0 

x = -3/7

x = 1/2

Solve by Quadratic Formula

100

5v² + 9v - 10 = 0

(-9 +- sqrt(281))/10

200

9r² - 3r - 5 = 0

(3 +- sqrt(189))/18

or

(1 +- sqrt(21))/6

300

n² + 5n - 14 = 0

n = 2

n = -7

400

10n² - 31n + 24 = 0

n = 8/5

n = 3/2

500

4x² + 2x + 47 = 0

No Solution