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Factoring Out (-1). Sometimes it is necessary to change the form of a factor to create an easier common factor. One of the tools used in this way is to factor out a negative one. Consider the following binomial. Factor out a negative. Notice the pattern from. to the equivalent form.
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Factoring Out (-1) • Sometimes it is necessary to change the form of a factor to create an easier common factor. One of the tools used in this way is to factor out a negative one. • Consider the following binomial. • Factor out a negative.
Notice the pattern from to the equivalent form • Think of the process in the following steps for factoring a binomial that is a difference (not a sum). • Write a negative sign in front of the parenthesis. • Switch the two terms inside the parentheses, keeping the minus sign in the middle.
Example 3: Factor a negative out of the binomial.
Example 4: Factor a negative out of the binomial in the second term. This negative will be multiplied by the - 5 resulting in + 5.