What is factor 3x^2+8x+4 ?

The solution to factor 3x^2+8x+4 is (3x+2)(x+2)

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factor 3x^2+8x+4

factor

3 x^{2} + 8 x + 4

(3 x + 2) (x + 2)

Solution steps

3 x^{2} + 8 x + 4

Break the expression into groups

= (3 x^{2} + 2 x) + (6 x + 4)

Factor out

x

from

3 x^{2} + 2 x : x (3 x + 2)

Factor out

2

from

6 x + 4 : 2 (3 x + 2)

= x (3 x + 2) + 2 (3 x + 2)

Factor out common term

3 x + 2

= (3 x + 2) (x + 2)

2 + \frac{2}{3}

2 (3 - 1) + 3 [1 - 2 (2)] + 2 (4 - 1) (2 + 1)

6 x^{2} - 5 x < - 1

2 z^{2} + 3 z + 2 yz + 3 y

16 x^{3} - 54