# How do you simplify #(x^2-7x+12) / (x-4) #?

You must factor the numerator to see if anything can eliminate itself.

The key for simplifying rational expressions: always factor completely to see what you can eliminate!!. Also, as you will see in the practice exercises, it is most helpful to factor out the GCF (greatest common factor) before engaging in other types of factorization.

Practice exercises:

Good luck!

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To simplify the expression (x^2-7x+12) / (x-4), we can use polynomial long division or synthetic division. However, in this case, we can also factorize the numerator and cancel out common factors.

The numerator, x^2-7x+12, can be factored as (x-3)(x-4).

Therefore, the simplified expression is (x-3).

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