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factor completely 3tcubed + 5tsquared -12t

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2 Answers

Hi Brandon;
3t3 + 5t2 - 12t
 
 
t(3t2+5t-12)
To FOIL 3t2+5t-12....
FIRST...(3t)(t)
LAST...either (-4)(3) or (4)(-3) or (6)(-2) or (-6)(2) or (12)(-1) or (-12)(1)
 
t(3t-4)(t+3)
 
FOIL...(3t-4)(t+3)...
FIRST...3t(t)
OUTER...(3t)(3)=9t
INNER...(-4)(t)=-4t
LAST...(-4)(3)
3t2+9t-4t-12
3t2+5t-12
 
 
 
 
Hi,
You need to understand the process and solve it yourself.
Here is the method:
1. Is there any common factor ? Yes, it is "t". Your job is factor "t" out from that.
2. What is the left over? In that left over part , you see any familiar thing about quadratic factorization when a = 3. If you realize that, the problem is solved. If not, read your notes (textbook) about quadratic factorization when a # 1.
Hope it helps.
Quan.

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