What is factor 15x^2+11x+2 ?

The solution to factor 15x^2+11x+2 is (3x+1)(5x+2)

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factor 15x^2+11x+2

factor

15 x^{2} + 11 x + 2

(3 x + 1) (5 x + 2)

Solution steps

15 x^{2} + 11 x + 2

Break the expression into groups

= (15 x^{2} + 5 x) + (6 x + 2)

Factor out

5 x

from

15 x^{2} + 5 x : 5 x (3 x + 1)

Factor out

2

from

6 x + 2 : 2 (3 x + 1)

= 5 x (3 x + 1) + 2 (3 x + 1)

Factor out common term

3 x + 1

= (3 x + 1) (5 x + 2)

x^{2} - 8 x + 7 = 0

- \frac{8}{3} < \frac{8 x + 3}{9} \leq \frac{1}{3}

x^{2} + 20 x + 64 = 0

∣ 3 x - 9 ∣ < 18

x^{2} + 10 x + 2 = 0