SOLUTION: Divide: 2x2 + 5x � 12 � 2x2 � 7x + 6 9x2 � 16 3x2 � x � 4 Should be 2x^2+5x-12 over 9x^2-16/ 2x^2-7x+6 over 3x^2-x-4

Question 195791: Divide:
2x2 + 5x � 12 � 2x2 � 7x + 6
9x2 � 16 3x2 � x � 4
Should be 2x^2+5x-12 over 9x^2-16/ 2x^2-7x+6 over 3x^2-x-4

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression.

Multiply the first fraction by the reciprocal of the second fraction .

Factor to get .

Factor to get .

Factor to get .

Factor to get .

Combine the fractions.

Highlight the common terms.

Cancel out the common terms.

Simplify.

FOIL

So simplifies to .

In other words, where , , , , or

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