Factoring Equations Questions

Factor completely: 4k2 + 12k + 9

a. ( 2k - 9 )( - 3k + 1)

b. ( 2k + 3 )2

c. ( 2k - 3 )2

d. ( 2k + 3 )( 2k - 3)

Question 2

Factor completely: x2 - 100

a. ( x + 10 )( x - 12 )

b. ( x + 10 )( x + 10 )

c. ( x - 10 )( x - 10 )

d. ( x + 10 )( x - 10 )

Question 3

Factor completely: 4x3 - 4x2 + 28x - 28

a. 4x ( x - 1 )( x + 7 )

b. ( 4x2 - 2 )( 4x + 6 )

c. ( 4x - 2 )( 4x2 + 6 )

d. 4 ( x - 1 )( x2 + 7 )

Question 4

Factor completely: 3x2 + 9x - 6x - 18

a. ( 3x + 4 )( 3x - 1)

b. x ( 3x + 4 )( 3x - 1 )

c. 3 ( x + 3 )( x - 2 )

d. 3x ( x + 3 )( x - 2 )

Question 5

Factor completely: x4 + 13x2 + 36

a. ( x + 18 ) 2 ( x + 2 )2

b. ( x2 + 4 )( x2 + 9 )

c. ( x2 + 18 )( x2 + 2 )

d. ( x + 4 ) 2 ( x + 9 ) 2

Question 6

Factor completely: - 5x4 + 20x2

a. - 5x2 ( x + 2 ) 2

b. - 5x3( x - 4 )

c. - 5x2 ( x2 - 4 )

d. - 5x2 ( x + 2 )( x - 2 )

Question 7

Factor completely: - 3x2y2 + 27

a. - 9( x2y2 + 9 )

b. - 3( xy - 3 )( xy + 3 )

c. - 3 (xy - 3 )2

d. ( xy - 3 )( - 3xy - 9 )

Question 8

Solve by factoring: -5x2 +22x - 8 = 0

a. - 2/5 and - 4

b. - 2/5 and + 4

c. + 2/5 and - 4

d. + 2/5 and + 4

Question 9

Solve by factoring: 6x2 + 10x + 4 = 0

a. - 1

b. - 1 and 2/3

c. + 1 and - 2/3

d. - 1 and - 2/3

Question 10

Tashia Baker is planning an expansion of a square flower garden in a city park. If each side of the original square is increased by 7 meters, the new total area of the garden will be 144 square meters. Find the length of the original garden.

a. 5 meters

b. 7 meters

c. 3 meters

d. 12 meters