Calculus Examples

$(3 x^{2} - 2 x + 8) \div (x^{3} - x^{2} + 2 x - 2)$

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

$(3 x^{2} - 2 x + 8) \div ((x^{3} - x^{2}) + 2 x - 2)$

Step 1.2

Factor out the greatest common factor (GCF) from each group.

$(3 x^{2} - 2 x + 8) \div (x^{2} (x - 1) + 2 (x - 1))$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 1$ .

$(3 x^{2} - 2 x + 8) \div (x - 1) (x^{2} + 2)$