How do u factor this 1) x^2−2x−1 2) x^2−3x+1 3) the function f is defined by f(x)=cx−3, where c is a constant. find c, if the value of f at x=1.5 is equal to −5.25. show work

You can factor a parabola by finding its roots: if

has roots , then you have the following factorization:

In order to find the roots, you can use the usual formula

In the first example, this formula leads to

So, you can factor

The same goes for the second parabola.

As for the third exercise, simply plug the values asking

you get

Add 3 to both sides:

Divide both sides by 1.5:

1. perpendicular

2. parallel

3. perpendicular