Question

Partially factored form: f(x) = (x − 3)(x + 3)(x2− 4x + 5) Use the quadratic formula to identify the zeroes of x2 − 4x + 5. x =

Answer 1

x=2+i and 2-i

Answer 2

The quadratic formula tells you that the solutions to

`ax^2+bx+c=0`

are given by

`x=(-b\pm√(b^2-4ac))/(2a)`

Filling in a=1, b=-4, c=5, this becomes

`x=(-(-4)\pm√((-4)^2-4(1)(5)))/(2\cdot 1)\\\\x=(4\pm√(-4))/(2)\\\\x=2\pm i`

The zeros are 2+i andd 2-i.