Question

X2+8+15=0
Factorizacion

Answer 1

x = 5, 3

Explanation:

Factor x 2 − 8 x + 15 using the AC method.

( x − 5 ) ( x − 3 ) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x − 5 = 0

x − 3 = 0

Set x − 5 equal to 0 and solve for x .

x = 5

Set x − 3 equal to 0 and solve for x.

x = 3

The final solution is all the values that make ( x − 5 ) ( x − 3 ) = 0 true.

x = 5, 3

Answer 2

`(x + 5)(x + 3)`

Explanation:

Im assuming you meant...

`{x}^(2) + 8x + 15 = 0`

If so, we will first look at the 8 and the 15

What we have to do it find two numbers that add to 8 and multiply to 15.

In this case, it would be 3 and 5. 3+5 is 8, but 3x5 is 15

Now we can make our factors. Since the equation is just + signs, both will only need + signs. Always put the X's first before the numbers, that will get you

(X + 5)(X + 3)