How do you factor 3x^2+8x+4 by using the grouping method?

1 Answer
Mar 29, 2018

(x + 2)(3x + 2)

Explanation:

1) Multiply the a and c terms together which in this case is 3 and 4.

3 \times 4 = 12

2) Find factors of 12 that when added together will get you to the b term, which is 8.

Those two are 2 and 6.

3) Expand and factor with grouping. Closely follow the steps.

3x^2 + 2x + 6x + 4

x(3x + 2) and 2(3x + 2)

(x + 2)(3x + 2)