What is factor 3x^2+11x+10 ?

The solution to factor 3x^2+11x+10 is (3x+5)(x+2)

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factor 3x^2+11x+10

factor

3 x^{2} + 11 x + 10

(3 x + 5) (x + 2)

Solution steps

3 x^{2} + 11 x + 10

Break the expression into groups

= (3 x^{2} + 5 x) + (6 x + 10)

Factor out

x

from

3 x^{2} + 5 x : x (3 x + 5)

Factor out

2

from

6 x + 10 : 2 (3 x + 5)

= x (3 x + 5) + 2 (3 x + 5)

Factor out common term

3 x + 5

= (3 x + 5) (x + 2)

\frac{2}{3} \cdot 4^{\frac{3}{2}}

4 x^{2} - 5 x = x^{2} + 28

3 m^{2} + 13 = m^{2} + 397

2 x^{2} y - 5 x^{2} - 2 y + 5

\frac{3}{4} = \frac{n}{12} n