Factor h(x)=2x^4-2x^3-7x^2+7x

$h (x) = 2 x^{4} - 2 x^{3} - 7 x^{2} + 7 x$

Factor $x$ out of $2 x^{4} - 2 x^{3} - 7 x^{2} + 7 x$ .

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

$h (x) = x (2 x^{3}) - 2 x^{3} - 7 x^{2} + 7 x$

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

$h (x) = x (2 x^{3}) + x (- 2 x^{2}) - 7 x^{2} + 7 x$

Factor $x$ out of $- 7 x^{2}$ .

$h (x) = x (2 x^{3}) + x (- 2 x^{2}) + x (- 7 x) + 7 x$

Factor $x$ out of $7 x$ .

$h (x) = x (2 x^{3}) + x (- 2 x^{2}) + x (- 7 x) + x \cdot 7$

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

$h (x) = x (2 x^{3} - 2 x^{2}) + x (- 7 x) + x \cdot 7$

Factor $x$ out of $x (2 x^{3} - 2 x^{2}) + x (- 7 x)$ .

$h (x) = x (2 x^{3} - 2 x^{2} - 7 x) + x \cdot 7$

Factor $x$ out of $x (2 x^{3} - 2 x^{2} - 7 x) + x \cdot 7$ .

$h (x) = x (2 x^{3} - 2 x^{2} - 7 x + 7)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$h (x) = x ((2 x^{3} - 2 x^{2}) - 7 x + 7)$

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

$h (x) = x (2 x^{2} (x - 1) - 7 (x - 1))$

Factor.

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

$h (x) = x ((x - 1) (2 x^{2} - 7))$

Remove unnecessary parentheses.

$h (x) = x (x - 1) (2 x^{2} - 7)$