What is factor 3x^2+13x+14 ?

The solution to factor 3x^2+13x+14 is (x+2)(3x+7)

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factor 3x^2+13x+14

factor

3 x^{2} + 13 x + 14

(x + 2) (3 x + 7)

Solution steps

3 x^{2} + 13 x + 14

Break the expression into groups

= (3 x^{2} + 6 x) + (7 x + 14)

Factor out

3 x

from

3 x^{2} + 6 x : 3 x (x + 2)

Factor out

7

from

7 x + 14 : 7 (x + 2)

= 3 x (x + 2) + 7 (x + 2)

Factor out common term

x + 2

= (x + 2) (3 x + 7)

2 x^{2} - 13 x y + 15 y^{2}

12 x + 3 (x + 7) > 10 x - 24

13 = 5 m - 2

35 = k^{2} - 2 k

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