What is factor 2x^2+11x+14 ?

The solution to factor 2x^2+11x+14 is (x+2)(2x+7)

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factor 2x^2+11x+14

factor

2 x^{2} + 11 x + 14

(x + 2) (2 x + 7)

Solution steps

2 x^{2} + 11 x + 14

Break the expression into groups

= (2 x^{2} + 4 x) + (7 x + 14)

Factor out

2 x

from

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

Factor out

7

from

7 x + 14 : 7 (x + 2)

= 2 x (x + 2) + 7 (x + 2)

Factor out common term

x + 2

= (x + 2) (2 x + 7)

5 - 10

2^{\frac{1}{2}} \cdot 2^{\frac{3}{5}}

2 (3 x + 2 y)^{2} - 12 x - 8 y

- ∣ b + 4 ∣ - 1 = 10

x^{2} - 2 x + 2 < 0