What is factor 4x^2+13x+10 ?

The solution to factor 4x^2+13x+10 is (4x+5)(x+2)

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factor 4x^2+13x+10

factor

4 x^{2} + 13 x + 10

(4 x + 5) (x + 2)

Solution steps

4 x^{2} + 13 x + 10

Break the expression into groups

= (4 x^{2} + 5 x) + (8 x + 10)

Factor out

x

from

4 x^{2} + 5 x : x (4 x + 5)

Factor out

2

from

8 x + 10 : 2 (4 x + 5)

= x (4 x + 5) + 2 (4 x + 5)

Factor out common term

4 x + 5

= (4 x + 5) (x + 2)

7 x^{2} = - 14

x^{3} + 4 x^{2} - 16 x \leq 64

∣ x + 4 ∣ + 3 < 5

2 \cdot \frac{5 π}{6}

\frac{6}{∣ x + 5 ∣} > 7