What are the zeros of the polynomial function f (x) = x^2+5x-6

The zeros are x=1, x=-6

Step-by-step explanation:

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

Factor: What two numbers multiply to - 6 and add to 5

-1 * 6 = - 6

-1 + 6 = 5

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

Using the zero product property

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

x-1 = 0 x+6=0

x=1 x=-6

The zeros are x=1, x=-6

X = - 6 and 1

To find the zeros you have to find two numbers that multiply to get - 6 and add to get 5

The two numbers you can use are 6 and - 1.

You then set these up with c

(x+6) (x-1)

Then set each of these up with 0

x+6=0 x-1=0

Then solve for them

x=-6 x=1

-6 and 1 are your solutions