Factor 10x^3+4x-25x^2-10

$10 x^{3} + 4 x - 25 x^{2} - 10$

Step 1

Reorder terms.

$10 x^{3} - 25 x^{2} + 4 x - 10$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(10 x^{3} - 25 x^{2}) + 4 x - 10$

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

$5 x^{2} (2 x - 5) + 2 (2 x - 5)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $2 x - 5$ .

$(2 x - 5) (5 x^{2} + 2)$