SOLUTION: The problem is : {{{2a^2+5a+3}}}. We have to factor each expression as a trinomial. I found the factors of three : 1 & 3 , but it says in the book that one of the factor pairs ha

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The problem is : {{{2a^2+5a+3}}}. We have to factor each expression as a trinomial. I found the factors of three : 1 & 3 , but it says in the book that one of the factor pairs ha      Log On


   

Question 37619: The problem is : 2a%5E2%2B5a%2B3. We have to factor each expression as a trinomial. I found the factors of three : 1 & 3 , but it says in the book that one of the factor pairs has to equal "b" which is supposed to be 5. This doesn't make sense to me.
AJ
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is : 2a%5E2%2B5a%2B3. We have to factor each expression as a trinomial. I found the factors of three : 1 & 3 , but it says in the book that one of the factor pairs has to equal "b" which is supposed to be 5. This doesn't make sense to me.
LET ME EXPLAIN YOU IN DETAIL
1.TAKE COEFFICIENT OF A^2 =2 HERE
2. TAKE CONSTANT TERM = 3 HERE.
3.FIND THEIR PRODUCT =2*3=6
4.KEEP IN MIND ALL FACTORS FOR THE ABOVE PRODUCT ...
1*6,-1*-6,2*3,-2*-3.
5.CHOOSE THAT PAIR WHOSE SUM IS EQUAL TO COEFFICIENT OF A =+5 HERE
6.2*3=6 SATISFY THIS REQUIREMENT SINCE 2+3=5
7.NOW SPLIT THE X TERM AS ABOVE ,TAKE COMMON FACTORS AND FACTORISE AS SHOWN BELOW
2A^2+2A+3A+3=2A(A+1)+3(A+1)=(A+1)(2A+3)
GOT IT??