Question

Which function has zeros at x=-2 and x=5?

Answer 1

`x^(2) - 3x - 10`

Explanation:

To start, lets form our polynomial factors from our zeroes.

x = -2

x + 2 = 0

x = 5

x - 5 = 0

Now lets put these into factored form by moving them into parenthesis and multiplying them with each other!

(x+2)(x-5)

We can start moving them out! I am going to use FOIL, but you could also use distributive or any other method/property.

x · x = x²

x · -5 = -5x

x · 2 = 2x

2 · 5 = 10

Now lets put our terms into our polynomial function, based on the order of the powers.

`x^(2) - 3x - 10`

We are done! Hope this helps!