Practice with Factoring Common Factors Topic Index | Algebra Index | Regents Exam Prep Center
 Factor:
 1. 5y - 30 Choose: 5(y - 30) 5 (y - 6) 5(y - 6) Explanation The largest number that will divide evenly into 5 and 30 is 5.

 2. 2x3 - 6x Choose: 2(x3 - 3x) 2x(x2 - 3) x(2x2 - 6) 1(2x3 - 6x) Explanation The largest number that will divide evenly into 2 and 6 is 2. The highest power of x present in both terms is x. So the greatest common factor is 2x.

 3. 4x4 - 6x3 + 2x2 + 2x Choose: 2(2x4 - 3x3 + x2 + x) x(4x3 - 6x2 + 2x + 2) 2x(2x3 - 3x2 + x + 1) 2x(2x3 - 3x2 + x) Explanation The largest number that will divide evenly into 4, 6, 2, and 2 is 2. The highest power of x present in each term is x. So the greatest common factor is 2x. Don't forget that 2x/2x is 1.

 4. 3x(x + 2) - 4(x + 2) Choose: (x + 2) (3x - 4) x + 2 (3x - 4) (x + 2) (3x - 4) Explanation The greatest common factor for these two terms is (x+2), Be careful when writing your answer. (x+2)(3x-4) is not the same as x+2(3x-4).  This last expression says to multiply ONLY the 2 times the parenthesis (3x-4).  This is not the answer.

 Topic Index | Algebra Index | Regents Exam Prep Center Created by Michael Caldwell