Trigonometry Examples

$p (t) = - 2 t^{5} + 10 t^{4} - 30 t^{2} + 100$

Step 1

Factor $2$ out of $- 2 t^{5}$ .

$p (t) = 2 (- t^{5}) + 10 t^{4} - 30 t^{2} + 100$

Step 2

Factor $2$ out of $10 t^{4}$ .

$p (t) = 2 (- t^{5}) + 2 (5 t^{4}) - 30 t^{2} + 100$

Step 3

Factor $2$ out of $- 30 t^{2}$ .

$p (t) = 2 (- t^{5}) + 2 (5 t^{4}) + 2 (- 15 t^{2}) + 100$

Step 4

Factor $2$ out of $100$ .

$p (t) = 2 (- t^{5}) + 2 (5 t^{4}) + 2 (- 15 t^{2}) + 2 (50)$

Step 5

Factor $2$ out of $2 (- t^{5}) + 2 (5 t^{4})$ .

$p (t) = 2 (- t^{5} + 5 t^{4}) + 2 (- 15 t^{2}) + 2 (50)$

Step 6

Factor $2$ out of $2 (- t^{5} + 5 t^{4}) + 2 (- 15 t^{2})$ .

$p (t) = 2 (- t^{5} + 5 t^{4} - 15 t^{2}) + 2 (50)$

Step 7

Factor $2$ out of $2 (- t^{5} + 5 t^{4} - 15 t^{2}) + 2 (50)$ .

$p (t) = 2 (- t^{5} + 5 t^{4} - 15 t^{2} + 50)$