SOLUTION: Rational Zero Theorem How do you factor f(x)= 4x^3-8x^2-29x-12

Algebra ->  Rational-functions -> SOLUTION: Rational Zero Theorem How do you factor f(x)= 4x^3-8x^2-29x-12      Log On


   

Question 562041: Rational Zero Theorem
How do you factor
f(x)= 4x^3-8x^2-29x-12
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
How do you factor
f(x)= 4x^3-8x^2-29x-12
**
Use Rational Roots Theorem to Solve:
....0...|.....4........-8.......-29..........-12.........
....1...|.....4........-4.......-33..........-45........
....2...|.... 4........ 0........-29..........-70.........
....3...|.....4.........4........-17..........-63.....
....4...|.....4.........8...........3..............0 (4 is a root)
f(x)=(x-4)(4x^2+8x+3
f(x)=(x-4)(2x+1)(2x+3)