Trigonometry Examples

$96 m^{3} - 12 m^{2} - 112 m + 14$

Step 1

Factor out the GCF of $2$ from $96 m^{3} - 12 m^{2} - 112 m + 14$ .

Tap for more steps...

Step 1.1

Factor out the GCF of $2$ from each term in the polynomial.

Tap for more steps...

Step 1.1.1

Factor out the GCF of $2$ from the expression $96 m^{3}$ .

$2 (48 m^{3}) - 12 m^{2} - 112 m + 14$

Step 1.1.2

Factor out the GCF of $2$ from the expression $- 12 m^{2}$ .

$2 (48 m^{3}) + 2 (- 6 m^{2}) - 112 m + 14$

Step 1.1.3

Factor out the GCF of $2$ from the expression $- 112 m$ .

$2 (48 m^{3}) + 2 (- 6 m^{2}) + 2 (- 56 m) + 14$

Step 1.1.4

Factor out the GCF of $2$ from the expression $14$ .

$2 (48 m^{3}) + 2 (- 6 m^{2}) + 2 (- 56 m) + 2 (7)$

Step 1.2

Since all the terms share a common factor of $2$ , it can be factored out of each term.

$2 (48 m^{3} - 6 m^{2} - 56 m + 7)$

Step 2

Factor out the greatest common factor from each group.

Tap for more steps...

Step 2.1

Group the first two terms and the last two terms.

$2 ((48 m^{3} - 6 m^{2}) - 56 m + 7)$

Step 2.2

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

$2 (6 m^{2} (8 m - 1) - 7 (8 m - 1))$

Step 3

Factor the polynomial by factoring out the greatest common factor, $8 m - 1$ .

$2 ((8 m - 1) (6 m^{2} - 7))$