What is factor 4x^2+11x+6 ?

The solution to factor 4x^2+11x+6 is (4x+3)(x+2)

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factor 4x^2+11x+6

factor

4 x^{2} + 11 x + 6

(4 x + 3) (x + 2)

Solution steps

4 x^{2} + 11 x + 6

Break the expression into groups

= (4 x^{2} + 3 x) + (8 x + 6)

Factor out

x

from

4 x^{2} + 3 x : x (4 x + 3)

Factor out

2

from

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

= x (4 x + 3) + 2 (4 x + 3)

Factor out common term

4 x + 3

= (4 x + 3) (x + 2)

6 x^{3} - 16 x^{2} + 21 x - 56

12 x y + 20 x a - 84 a y - 140 a^{2}

3 (x - 3) = 3

(x - 5 i) (x + 5 i)

3 x^{4} + 45 x^{3} + 78 x^{2}