What is factor 2k^2+9k+10 ?

The solution to factor 2k^2+9k+10 is (k+2)(2k+5)

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factor 2k^2+9k+10

factor

2 k^{2} + 9 k + 10

(k + 2) (2 k + 5)

Solution steps

2 k^{2} + 9 k + 10

Break the expression into groups

= (2 k^{2} + 4 k) + (5 k + 10)

Factor out

2 k

from

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

Factor out

5

from

5 k + 10 : 5 (k + 2)

= 2 k (k + 2) + 5 (k + 2)

Factor out common term

k + 2

= (k + 2) (2 k + 5)

∣ x + 3 ∣ < 7

6 x - 6 < 6 (x - 2)

7 (x - 8) - 8 (x - 7) = x + 7 - (x - 2)

(\frac{4 x ^{5} y}{16 x y ^{4}})^{3}