SOLUTION: please help me solve these problems please I tried to solve them myself but keep getting them wrong. factor the polynomial completely 1. 12t3+14t2+4t 2. reduce the expre

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me solve these problems please I tried to solve them myself but keep getting them wrong. factor the polynomial completely 1. 12t3+14t2+4t 2. reduce the expre      Log On


   



Question 184200: please help me solve these problems please I tried to solve them myself but keep getting them wrong.
factor the polynomial completely
1. 12t3+14t2+4t
2. reduce the expression to the lowest terms
w9/w12

Found 2 solutions by user_dude2008, ankor@dixie-net.com:
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

12t^3+14t^2+4t


2t(6t^2+7t+2)


2t(3t+2)(2t+1)

Ans: 2t(3t+2)(2t+1)



# 2

w^9/w^12 = w^(9-12) = w^(-3) = 1/w^3

Ans: 1/w^3

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
factor the polynomial completely
:
1. 12t^3 + 14t^2 + 4t
:
Factor out 2t:
2t(6t^2 + 7t + 2)
:
factor the quadratic
2t(3t + 2)(2t + 1)
:
:
2. reduce the expression to the lowest terms
when you divide subtract exponents
w%5E9%2Fw%5E12 = 1%2F%28w%5E%28%2812-9%29%29%29 = 1%2Fw%5E3