What is factor 6x^2+17x+10 ?

The solution to factor 6x^2+17x+10 is (6x+5)(x+2)

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factor 6x^2+17x+10

factor

6 x^{2} + 17 x + 10

(6 x + 5) (x + 2)

Solution steps

6 x^{2} + 17 x + 10

Break the expression into groups

= (6 x^{2} + 5 x) + (12 x + 10)

Factor out

x

from

6 x^{2} + 5 x : x (6 x + 5)

Factor out

2

from

12 x + 10 : 2 (6 x + 5)

= x (6 x + 5) + 2 (6 x + 5)

Factor out common term

6 x + 5

= (6 x + 5) (x + 2)

2 x^{2} - 5 x - 33

x^{2} \leq 42 - x

- 3 (- 10 x + 7) = 7 + 8 (\frac{3}{2} x - \frac{5}{2}) + 4 x

26 = 8 + v