Question

What is the quadratic function for -3 and 5

Answer 1

For this case we have the following roots:

`x_ {1} = - 3\\x_ {2} = 5`

We must find a quadratic function associated with the given roots.

We have to, we can represent the solution as follows:

`(x + 3) (x-5) = 0\\x_ {1} = - 3\\x_ {2} = 5`

If we apply distributive property considering that:

`+ * - = -`

Different signs are subtracted and the major sign is placed.

`(x + 3) (x-5) = x ^ 2-5x + 3x-15 = x ^ 2-2x-15`

Thus, the quadratic function is:

`f (x) = x ^ 2-2x-15`

Answer:

`f (x) = x ^ 2-2x-15`