Pearson Algebra 1 Common Core, 2015
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Pearson Algebra 1 Common Core, 2015 View details
Mid-Chapter Quiz
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Exercise 1 Page 690

Factor the numerator as much as you can. Cancel out common factors, if possible.

Simplified Expression: 6x-12
Excluded Values: x≠ -2

Practice makes perfect
We want to simplify the given rational expression. To do so, we will factor the numerator as much as possible. Then, we will cancel out any common factors.
6x^2-24/x+2
â–Ľ
Factor the numerator
6(x^2-4)/x+2
6(x^2-2^2)/x+2
6(x+2)(x-2)/x+2
â–Ľ
Simplify
6(x+2)(x-2)/(x+2)
6(x-2)/1
6(x-2)
6x-12
We simplified the given expression. To state any excluded values, we will check the original expression to see which values of x make the denominator 0. The denominator of the original expression is x+2. x+2=0 ⇔ x=-2 The denominator of the original expression is 0 when x=-2. Therefore, the simplified form is 6x-12 where x ≠ -2.