Factoring Polynomials
Factoring means breaking up a polynomial into simpler parts that multiply to give the original expression. For example, instead of writing 4a²+8a, we can factor it as 4a, which is much easier to work with.
When a polynomial can't be factored any further, we call it prime. To factor using the Greatest Common Factor (GCF), start by identifying what number and variables are common to all terms. For variables, look for those that appear in every term and use the smallest exponent.
Next, divide each term by this GCF and place the remaining factors in parentheses. Always check your work by distributing (multiplying back) to make sure you get the original expression.
Quick Tip: Think of factoring as "undoing" multiplication. If you can multiply factors to get back to the original expression, you've factored correctly!
