Finite Math Examples

$f (x) = 4 x^{2} - 64 x^{4} + x^{2} - 11$

Step 1

Regroup terms.

$f (x) = - 64 x^{4} + 4 x^{2} + x^{2} - 11$

Step 2

Add $4 x^{2}$ and $x^{2}$ .

$f (x) = - 64 x^{4} + 5 x^{2} - 11$

Step 3

Factor $- 1$ out of $- 64 x^{4} + 5 x^{2} - 11$ .

Tap for more steps...

Step 3.1

Factor $- 1$ out of $- 64 x^{4}$ .

$f (x) = - (64 x^{4}) + 5 x^{2} - 11$

Step 3.2

Factor $- 1$ out of $5 x^{2}$ .

$f (x) = - (64 x^{4}) - (- 5 x^{2}) - 11$

Step 3.3

Rewrite $- 11$ as $- 1 (11)$ .

$f (x) = - (64 x^{4}) - (- 5 x^{2}) - 1 \cdot 11$

Step 3.4

Factor $- 1$ out of $- (64 x^{4}) - (- 5 x^{2})$ .

$f (x) = - (64 x^{4} - 5 x^{2}) - 1 \cdot 11$

Step 3.5

Factor $- 1$ out of $- (64 x^{4} - 5 x^{2}) - 1 (11)$ .

$f (x) = - (64 x^{4} - 5 x^{2} + 11)$