What are the steps for factoring?
Steps to Factoring a Monomial from a Polynomial
- Determine the GCF of all terms in the polynomial.
- Write each term as the product of the GCF and another factor.
- Use the distributive property to factor out the GCF.
What are the 7 factoring techniques?
The following factoring methods will be used in this lesson:
- Factoring out the GCF.
- The sum-product pattern.
- The grouping method.
- The perfect square trinomial pattern.
- The difference of squares pattern.
What are the 6 types of factoring?
The lesson will include the following six types of factoring:
- Group #1: Greatest Common Factor.
- Group #2: Grouping.
- Group #3: Difference in Two Squares.
- Group #4: Sum or Difference in Two Cubes.
- Group #5: Trinomials.
- Group # 6: General Trinomials.
Why is factoring so hard?
Factoring is harder than multiplying because it’s not as mechanical. Many times it involves guesses or trial-and-error. Also, it can be tougher because sometimes things cancel when multiplying. For example, If you were asked to multiply (x+2)(x 2-2x+4), you would get x 3+8.
What is the factor of 2x?
Answer: 2 and x are the factors of 2x.
How do you simplify?
To simplify any algebraic expression, the following are the basic rules and steps:
- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
- Use the exponent rule to remove grouping if the terms are containing exponents.
- Combine the like terms by addition or subtraction.
- Combine the constants.
How do you factor out?
Factoring is the opposite of distributing. When distributing, you multiply a series of terms by a common factor. When factoring, you seek to find what a series of terms have in common and then take it away, dividing the common factor out from each term.
What is the first rule of factoring?
RULE # 1: The First Rule of Factoring: Always see if you can factor something out of ALL the terms.