Factoring Quadratic Equations

Factor into binomials

(1) 2x² - 7x + 6

A (2x - 3)(x + 2)

B (2x - 3)(x - 2)

C (2x - 1)(x - 6)

D (2x - 6)(x - 1)

E (2x + 3)(x - 2)

(2) x² - x - 12

F (x - 4)(x - 3)

G (x - 6)(x + 2)

H (x - 2)(x - 6)

J (x - 3)(x + 4)

K (x - 4)(x + 3)

(3) 2x² - 7x - 4

A (2x - 1)(x + 4)

B (2x + 4)(x - 1)

C (2x + 1)(x - 4)

D (2x - 1)(x - 4)

E (2x + 2)(x - 2)

(4) 6x² - x - 1

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

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

H (3x - 1)(2x - 1)

J (6x - 1)(x + 1)

K (6x + 1)(x - 1)

(5) 2x² + 9x - 18

A (2x + 3)(x - 6)

B (2x + 9)(x - 2)

C (2x + 2)(x - 9)

D (2x - 3)(x + 6)

E (2x - 3)(x - 6)

(6) 3x² - 23x + 30

F (3x + 5)(x + 6)

G (3x - 10)(2x - 3)

H (3x - 5)(x - 6)

J (3x - 5)(x + 6)

K (3x + 3)(x - 10)

(7) x² - 25

A (x + 5)(x - 5)

B (x - 5)(x - 5)

C (x + 5)(x + 5)

D (x + 25)(x - 1)

E (x + 1)(x - 25)

(8) 6x² + 23x + 20

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

G (2x + 10)(3x + 2)

H (6x + 5)(x + 4)

J (3x + 5)(2x + 4)

K (2x + 5)(3x + 4)

(9) If 2x² + (3b - 2)x - 15 is factored into (2x - 3)(x + 5), what is the value of b? Explain.

CUMULATIVE REVIEW

(1) Solve and graph the system of inequalities 2x + 6 � 10,        x + 1 � 5

(2) An object is dropped from the top of a tall office building. The equation that describes the path of the object is

h = 300-16t2

where h is the height in feet, above ground after t seconds. What is the height in feet after 2 seconds?

A 364 ft

B 280 ft

C 236 ft

D 1136 ft

E 320 ft

(3) The polynomial 3x² + 7x + 4 is modeled with algebra tiles. Construct this scenario. What are the factors of the polynomial?