QUIZ: Factor GCF/Difference of Squares

What is the GCF of the terms below?

24x³ + 36x²

• 8x

• 6x²

• 12x²

• 4x

• 12x³

What is the greatest common factor of 20a²b² and 50b³?

• 100a²b²
• 10b³
• 10ab²
• 10b²

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Factor completely.

121x² - 49

• ( 11x - 7 ) ²

• ( 11x - 7 ) ( 11x - 7 )

• ( 11x + 7 ) ( 11x - 7 )

• ( 12x + 7 ) ( 12x - 7 )

Factor completely.

64x² - 49y²

• ( 8x + 7 ) ( 8x - 7 )

• ( 8x - 7y ) ( 8x - 7y )

• ( 8x + 7y ) ( 8x - 7y )

• ( 8x - 7y )²

Factor completely.

a² - 16b²

• ( a + 4b ) ( a - 4b )

• ( a - 4b ) ²

• ( a - 4b ) ( a - 4b )

• ( a + 2b ) ( a - 8b )

Factor completely. (Hint: Factor out GCF first.)

18x² - 50

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

Factor completely.

49x² + 16

• ( 7x + 4 ) ( 7x - 4 )

• ( 7x + 4 ) ( 7x + 4 )

• ( 7x - 4 ) ²

• does not factor (SUM of squares)

Factor completely.

x²y² - 9

• ( xy - 3 ) ( xy - 3 )

• ( xy + 3 ) ( xy - 3 )

• ( xy - 3 ) ²

• ( xy )² - 3

16p⁴ + 4p³

• 4p³ (4p + 1)

• 4p (4p³ + 1)

• 4p (4p³ + p²)

• 4p⁴ (4p + 4p³)