Factoring Review

Factor completely: a²b²c² – abc

• abc(abc)

• (ab + c)(ab – c)

• (a + b)(a – c)

• abc(abc – 1)

• Prime

Factor completely:    $36x^{2^{ }}\ -\ \ 49$  

• (6x + 7)(6x + 7)
  

• (18x + 7)(18x - 7)

• (9x + 7)(4x - 7)
  

• (6x + 7)(6x - 7)

• Prime

Factor completely:   $144x^2\ +\ 1$  

• (72x + 1)(72x - 1)

• (12x + 1)(12x - 1)

• (12x + 1)(12x + 1)

• (12x - 1)(12x - 1)

• Prime

 $x^2\ -\ 18x\ +\ 45$  Factor completely:

• (x - 5)(x - 9)

• (x - 15)(x - 3)

• (x + 15)(x - 3)

• (x + 9)(x - 5)

• Prime

 $x^2\ +\ 10x\ -\ 24$  Factor completely:

• (x + 12)(x - 2)

• (x - 12)(x + 2)

• (x - 6)(x - 4)

• (x + 8)(x - 3)

• Prime

Factor completely:   $7x^2\ -\ 2x\ -\ 5$  

• (7x + 5)(x – 1)     

• (7x – 5)(x + 1)     

• (4x + 3)(3x + 4)

• (4x – 1)(3x – 5)

• Prime

Solve: x(x - 11) = 0

• 0 only

• 11 only

• -11 only

• 0 and 11

• 0 and -11

Solve: (2x + 5)(3x - 1) = 0

• 5/2 and 1/3

• -5/2 and -1/3
  

• -5/2 and 1/3

• 5/2 and -1/3

• None of these

 Solve:   $3x^3\ -\ 12x\ =\ 0$  

• 0 only 

• 0 and 2 only

• 0, 2 and -2

• 0 and -2 only

• None of these

When factoring the trinomial  $x^2\ +\ 3x\ -\ 10,\$  what does the minus sign between 3x and 10 indicate about the resulting factors?

• The signs of the two factors are both negative.

• The signs of the two factors are opposites.

• The sign of the higher factor is negative.

• The signs of the two factors are both positive.

• The trinomial is prime.