Basic Math Examples

$- y^{2} + 5 y + 14$

Step 1

Factor $- 1$ out of $- y^{2} + 5 y + 14$ .

Tap for more steps...

Step 1.1

Factor $- 1$ out of $- y^{2}$ .

$- (y^{2}) + 5 y + 14$

Step 1.2

Factor $- 1$ out of $5 y$ .

$- (y^{2}) - (- 5 y) + 14$

Step 1.3

Rewrite $14$ as $- 1 (- 14)$ .

$- (y^{2}) - (- 5 y) - 1 (- 14)$

Step 1.4

Factor $- 1$ out of $- (y^{2}) - (- 5 y)$ .

$- (y^{2} - 5 y) - 1 (- 14)$

Step 1.5

Factor $- 1$ out of $- (y^{2} - 5 y) - 1 (- 14)$ .

$- (y^{2} - 5 y - 14)$

Step 2

Factor.

Tap for more steps...

Step 2.1

Factor $y^{2} - 5 y - 14$ using the AC method.

Tap for more steps...

Step 2.1.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 14$ and whose sum is $- 5$ .

$- 7, 2$

Step 2.1.2

Write the factored form using these integers.

$- ((y - 7) (y + 2))$

Step 2.2

Remove unnecessary parentheses.

$- (y - 7) (y + 2)$