What is factor 2k^2+11k+12 ?

The solution to factor 2k^2+11k+12 is (2k+3)(k+4)

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factor 2k^2+11k+12

factor

2 k^{2} + 11 k + 12

(2 k + 3) (k + 4)

Solution steps

2 k^{2} + 11 k + 12

Break the expression into groups

= (2 k^{2} + 3 k) + (8 k + 12)

Factor out

k

from

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

Factor out

4

from

8 k + 12 : 4 (2 k + 3)

= k (2 k + 3) + 4 (2 k + 3)

Factor out common term

2 k + 3

= (2 k + 3) (k + 4)

\frac{4}{\frac{4}{5}} - \frac{4}{\frac{5}{4}}

4 x^{2} = 2 x + 6

∣ x + 2 ∣ + 6 \leq 11

(\frac{5}{6}) (\frac{2}{3})

12 x^{2} + 50 x + 50