SOLUTION: I am a beginner. I am stuck on correct answer for finding one of the factors of: X^2 + X - 6 = I am not using a specific book. I am just practicing...........

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Question 39382: I am a beginner.
I am stuck on correct answer for finding one of the factors of:
X^2 + X - 6 =
I am not using a specific book. I am just practicing...........

Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!
I am stuck on correct answer for finding one of the factors of:
X^2 + X - 6 =
I am not using a specific book. I am just practicing...........
1.WRITE COEFFICIENT OF X^2=1
2.WRITE CONSTANT TERM =-6
3.FIND THEIR PRODUCT = 1*-6=-6
4.WRITE COEFFICIENT OF X = 1
5.FIND 2 FACTORS FOR PRODUCT UNDER 3 SO THAT THEIR SUM = COEFFICIENT OF X UNDER 4.
TRIAL 1....-6= -1*6....THEIR SUM =-1+6=5...NO
TRIAL 2....-6= -2*3....THEIR SUM =-2+3=1...OK
6.SPLIT X TERM AS PER ABOVE,TAKE COMMON FACORS AS SHOWN BELOW
=X^2-2X+3X-6
=X(X-2)+3(X-2)
=(X-2)(X+3)...IS THE ANSWER

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