# Factoring quadratic equations worksheet

 Name: _____________________________ Date : ____________________________

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 =    __________________

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