Factoring

Problems in the form...

ax² + b = c(dx + e)
     A common factor factors out of both terms. There is no further factoring.
 
x² + bx + c = (x + d)(x + e)
     Coefficient of x² is always 1
 
ax² + bx + c = (ax + d)(x + e)
     Coefficient of x in one of the factored terms is always 1
 
ax² + bx + c = (dx + e)(fx + g)
     Coefficient of x in both of the factored terms is never 1
 
ax² + bx + c = d(x + e)(x + f)
     After factoring out a common factor from all terms, the coefficient of x² is always 1
 
ax² + bx + c = d(ex + f)(gx + h)
     After factoring out a common factor from all terms, the coefficient of x in both of the factored terms is never 1
 
a²x² - b² = (ax + b)(ax - b)
     A perfect square minus a perfect square.
 
a²cx² - b²c = c(ax + b)(ax - b)
     After factoring out a common factor from both terms, a perfect square minus a perfect square.
 

Coefficients

All coefficients are positive integers.
Coefficients may be negative integers.

Multiple worksheets

Create 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 different worksheets using these selections.

Language

English
Spanish
French

Memo Line

Include Answer Key