Posted by Brieson on .
factor by grouping: 3X^2 + 7X 6 ? Please walk me through this

Algebra 
Anonymous,
3x^2 + 7x6
(X+3)(3x2) 
Algebra 
Reiny,
3x^2 + 7x  6
multiply the first and last coefficients
3(6) = 18
factors of 18 that add up to 7
+9 and 2
(9)(2) = 18 and 9  2 = 7
so replace the middle term of 7x with 2x + 9x
3x^2  2x + 9x 6
group as
(3x^2  2x) + (9x6)
now factor each group
x(3x2) + 3(3x2)
= (3x2)(x+3) 
Algebra 
silindokuhle,
x=2/3 and x=3