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xenn [34]
3 years ago
8

Consider the rational expression (IMAGE ATTACHED)

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

  • 3x² is a term in the numerator
  • x + 1 is a common factor
  • The denominator has 3 terms

Step-by-step explanation:

You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.

When you factor the expression, you get ...

  \dfrac{3x^2-3}{3x^2+2x-1}=\dfrac{3(x^2-1)}{(3x-1)(x+1)}=\dfrac{3(x-1)(x+1)}{(3x-1)(x+1)}

This reveals a common factor of x+1.

So, the above three observations are true of this rational expression.

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