i DONT UNDERSTAND HOW TO FACTOR
1. Look at the equation. Ask yourself this: Is this equation a difference of squares, a sum or difference of cubes, a perfect-square trinomial, or needs to be factored another way?
2. Look at the form of the equation. If it is in the form x2+bx+c=0, read this step, for there is a shortcut: Find the two numbers that multiply to c and add to b. Once you find these two numbers (or fractions, beware), place them in these parentheses: (x+ )(x+ ). (Hint: If the trinomial is in the form x2-bx+c, your answer is in this form: (x- )(x- ). If it is in the form x2+bx+c, your answer looks like this: (x+ )(x+ ). If it is in the form x2-bx-c, you answer is in the form (x+ )(x- ).)
3. If the equation is in the form ax2+bx+c (a>1), find the two numbers that multiply to ac and add to b. From here, substitute b with the two numbers obtained in the last step and FACTOR BY GROUPING (factoring by GCF).
4. If the trinomial is in the form a2-b2, the answer is (a+b)(a-b).
5. If the trinomial is in the form a2+2ab+b2, the factored form is (a+b)2. If the trinomial is in the form a2-2ab+b2, the factored form is (a-b)2.
6. If the equation is in the form a3-b3, the factored form is (a-b)(a2+ab+b2). If the equation is in the form a3+b3, the factored form is (a+b)(a2-ab+b2).
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