This preview shows page 1. Sign up to view the full content.
Unformatted text preview: 2-4. The square is complete! (if given 3 x 2 + 18 x + 15 , factor out 3 to get 3( x 2 + 6 x + 5) , then proceed as above) If this was a trig substitution problem, you would sub x + 3 = 2sec . In a partial fraction problem you want to know if the quadratic is reducible or not. If after completing the square you have a sum, then the quadratic is irreducible. If you have a dierence, like ( x + 3) 2-4 in my example, then its reducible. Use the formula a 2-b 2 = ( a-b )( a + b ) to reduce it: ( x + 3) 2-4 = ( x + 3-2)( x + 3 + 2) = ( x + 1)( x + 5)....
View Full Document
- Spring '10