Find the zeros of each function.

f (x) = x^2 + 5x - 6

zeros of function f (x) = x^2 + 5x - 6 is 1 and - 6

Step-by-step explanation:

Let f (x) = x^2 + 5x - 6

To find the Zeros

consider two numbers - 1 and - 6

Let - 1 * 6 = 6

-1 + 6 = 5

f (x) can be written as,

f (x) = x^2 + 5x - 6

f (x) = x^2 - x + 6x - 6

f (x) = x (x - 1) + 6 (x - 1)

f (x) = (x - 1) (x + 6)

Therefore zeros of f (x) = 1 and - 6

x=1 x=-6

Step-by-step explanation:

f (x) = x^2 + 5x - 6

What two number multiply together to give us - 6 and add to give us 5

-1 * 6 = - 6

-1 + 6 = 5

(x-1) (x+6) = 0

Using the zero product property

x-1 = 0 x+6 = 0

x-1+1=0+1 x+6-6=0-6

x=1 x=-6