SOLUTION: How do you factor trinomials? like 3t^2+16t+5

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: How do you factor trinomials? like 3t^2+16t+5      Log On


   

Question 32383: How do you factor trinomials? like 3t^2+16t+5
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
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...YAKE COMMON FACTORS OUT...
= T(3T+1)+5(T+3)=(T+5)(3T+1)..IS THE ANSWER.