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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