Question 32316
SEE THE FOLLOWING EXAMPLE AND TRY..IF STILL IN DIFFICULTY PLEASE COME BACK
-----------------------------------------------------
How do you factor trinomials? like 3t^2+16t+5
1 solutions

--------------------------------------------------------------------------------
Answer 18914 by venugopalramana(1323)   on 2006-04-04 10:48:40 (Show Source): 

3t^2+16t+5...
IF THERE ARE REAL FACTORS ,WE CAN USE THE FOLLOWING METHOD..
TAKE COEFFICIENT OF X^2..=3
TAKE CONSTANT TERM...=5
FIND THEIR PRODUCT...=3*5=15
FIND 2 FACTORS FOR THE ABOVE PRODUCT SO THAT THEIR SUM IS EQUAL TO THE COEFFICIERNT OF X TYERM....=16
PRODUCT =15...FACTORS ARE 1*15 AND...3*5
WE FIND 1+15=16...SO SPLIT X TERMS AS PER THE FACTORS..THAT IS...
3T^2+1T+15T+5...TAKE COMMON FACTORS OUT...
= T(3T+1)+5(T+3)=(T+5)(3T+1)..IS THE ANSWER.