Find The Quotient F(x)=2x^2-x-6 G(x)=x^2-4 | Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Quotient of the Two Functions f(x)=2x^2-x-6 g(x)=x^2-4 Step 1Replace the function designators with the actual functions in .Step 2Simplify.Tap for more steps...Step 2.1Factor by grouping.Tap for more steps...Step 2.1.1For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .Tap for more steps...Step 2.1.1.1Factor out of .Step 2.1.1.2Rewrite as plus Step 2.1.1.3Apply the distributive property.Step 2.1.2Factor out the greatest common factor from each group.Tap for more steps...Step 2.1.2.1Group the first two terms and the last two terms.Step 2.1.2.2Factor out the greatest common factor (GCF) from each group.Step 2.1.3Factor the polynomial by factoring out the greatest common factor, .Step 2.2Simplify the denominator.Tap for more steps...Step 2.2.1Rewrite as .Step 2.2.2Since both terms are perfect squares, factor using the difference of squares formula, where and .Step 2.3Cancel the common factor of .Tap for more steps...Step 2.3.1Cancel the common factor.Step 2.3.2Rewrite the expression.

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