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

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

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factor 15z^2+11z+2

factor

15 z^{2} + 11 z + 2

(3 z + 1) (5 z + 2)

Solution steps

15 z^{2} + 11 z + 2

Break the expression into groups

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

Factor out

5 z

from

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

Factor out

2

from

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

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

Factor out common term

3 z + 1

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

∣ x + 8 ∣ \geq 4

5 - x \leq x

x \frac{2}{3} = 4

∣ z + 3 ∣ = ∣ z - 8 ∣