Question

Rewrite the quadratic function in intercept or factored form
f(x)=8-10x+2x^2

Answer 1

Answer:
`f(x)=2(x-1)(x-4)`

Explanation:

1. You can write the quadratic equation as following:

`f(x)=2x^(2)-10x+8`

2. Factor out 2. Then:

`f(x)=2(x^(2)-5x+4)`

3. Now, you must find two number that when you add them you obtain -5 and when you multiply them you obtain 4. These would be -1 and -4.

3. Therefore, you can write the function in the following intercept form:

`f(x)=2(x-1)(x-4)`