Question

Factorize x^2+10x+32

Answer 1

Explanation:

Finding the roots and then transforming each root into its corresponding factor:

-10 ± √( (10)^2 - 4(1)(32) )

Using the quadratic formula, we get x = --------------------------------------

2(1),

-10 ± √(100 - 128)

or x = ------------------------------

2

-10 ± i°√(4)·√7 -5 ±i√7

or x = ------------------------- = ----------------

2

Then, from the first root, we get the first factor, (x + 5 + i√7). The other root is the complement of this one, and is (x + 5 - i√7)

Answer 2

I don’t think you can factor it any further