SOLUTION: hey guys i need help with my algebra homework well its 9t^3+66t^2-48t and the answer is 3t(3t-2)(t+8) can you show me the steps?

Question 278533: hey guys i need help with my algebra homework well its
9t^3+66t^2-48t
and the answer is 3t(3t-2)(t+8)
can you show me the steps?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
9t^3+66t^2-48t
---
Common Factor: 3t
----
= 3t(3t^2 + 22t - 16)
----
think of two numbers whose product is -16*3 = -48 and whose sum = 22.
The numbers are +24 and -2
Rewrite the problem with substitution:
---
= 3t(3t^2+24t-2t -16)
---
= 3t(3t(t+8)-2(t+8))
---
= 3t(t+8)(3t-2)
===============
Cheers,
Stan H.

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