Factor 36x^3-60x^2+3x-5

$36 x^{3} - 60 x^{2} + 3 x - 5$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(36 x^{3} - 60 x^{2}) + 3 x - 5$

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

$12 x^{2} (3 x - 5) + 1 (3 x - 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 x - 5$ .

$(3 x - 5) (12 x^{2} + 1)$