Factoring quadratic equations worksheet

For exercises 1 - 4, fill in the blank with the correct numbers.

1.    x² + 7x + 12 = (x + 3)(x + ◻)



2.    x² + 7x + 10 = (x + ◻)(x + 5)



3.    x² - 9x + 8 = (x + ◻)(x + ◻)



4.    x² - 2x + 1 = (x + ◻)(x + ◻)

Factor the following quadratic equations

5.    x² + 21x + 38 =    __________________



6.    x² + -21x + 38 =    __________________



7.    x² - 18x + 45 =   __________________



8.    x² - 14x + 45 =   ________________

For exercises 9 and 10, fill in the blank with the correct numbers.

9.    12x² + 43x + 35 =(3x + ◻)(4x + ◻)



10.    12x² - 7x - 12 = (x + ◻)(x + ◻)

Factor the following quadratic equations.

11.    16z² + 26z + 9 =   __________________



12.    7z² - 30z + 27 =    __________________