SOLUTION: Express x^2 - 10x + 32 in the form (x-h)^2 + g Thank you

1. Get the coefficient of x, which is -10
2. Multiply it by , get -10 = -5
3. Square this result, get (-5)² = 25
4. Add this value, 25, then subtract it, after the 10x 
   (this just amounts to adding nothing, or zero)

x² - 10x + 25 - 25 + 32

Put parentheses around the first three terms

(x² - 10x + 25) - 25 + 32

Combine the two numbers on the right:

(x² - 10x + 25) + 7

Factor the trinomial:

(x - 5)(x - 5) + 7

Since the two factors are the same we write it just once squared:

(x - 5)² + 7

That's it.

Edwin