Factor 3x^4-21x^3+10x^2

$3 x^{4} - 21 x^{3} + 10 x^{2}$

Step 1

Factor $x^{2}$ out of $3 x^{4}$ .

$x^{2} (3 x^{2}) - 21 x^{3} + 10 x^{2}$

Step 2

Factor $x^{2}$ out of $- 21 x^{3}$ .

$x^{2} (3 x^{2}) + x^{2} (- 21 x) + 10 x^{2}$

Step 3

Factor $x^{2}$ out of $10 x^{2}$ .

$x^{2} (3 x^{2}) + x^{2} (- 21 x) + x^{2} \cdot 10$

Step 4

Factor $x^{2}$ out of $x^{2} (3 x^{2}) + x^{2} (- 21 x)$ .

$x^{2} (3 x^{2} - 21 x) + x^{2} \cdot 10$

Step 5

Factor $x^{2}$ out of $x^{2} (3 x^{2} - 21 x) + x^{2} \cdot 10$ .

$x^{2} (3 x^{2} - 21 x + 10)$