X2 - 16 Step 1: Is there a common factor (gcf)? If no, go to step 2 Step 2: Do you have two perfect squares- yes, x2 and 16 are perfect squares Step 3: Do you have difference (subtraction sign) If so, you are ready to factor Step 4: You take the square root of each of the perfect squares, then one term will be minus one term will be plus! (x-4)(x+4) You use 4 since the square root of 16 is 4
DOTS only works when you have two perfect squares and a difference!
Example is X2 - 16
Dont forget about hidden dots they are not easily seen you need to solve the problem to figure out if there are hidden dots or not.
9x - 18 Step 1; take out GCF 9 Step 2; use reverse distributive property 9(x-2) Step 3: Check inside parenthesis; if (x-2) cannot be factored, then you are done 9(x-2)
Factoring out the Greatest Common Factor (GCF)
12x3 - 9x2 + 18x Step 1: What is the GCF: it will be 3x, all terms at least have a 3x in common Step 2: Factor out the GCF 3x(4x2 - 3x + 6) Check inside the parentheses, 4x2, 9x and 6 don’t have any common factors so you are done
Grouping is used when you have four terms, and you “group” them together for a common factor
12a3 − 9a2 + 4a − 3 =(3a2 + 1)(4a − 3)
2p3+5p2+6p+15 =( p2+ 3)(2 p + 5)
Factoring trinomials means finding two binomials that when multiplied together produce the given trinomial.