What is factor 3z^2+10z+3 ?

The solution to factor 3z^2+10z+3 is (3z+1)(z+3)

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factor 3z^2+10z+3

factor

3 z^{2} + 10 z + 3

(3 z + 1) (z + 3)

Solution steps

3 z^{2} + 10 z + 3

Break the expression into groups

= (3 z^{2} + z) + (9 z + 3)

Factor out

z

from

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

Factor out

3

from

9 z + 3 : 3 (3 z + 1)

= z (3 z + 1) + 3 (3 z + 1)

Factor out common term

3 z + 1

= (3 z + 1) (z + 3)

∣ x + 4 ∣ = 8

4 x^{2} + 21 x + 5 = 0

\frac{1}{x + 3} > \frac{1}{4}

x^{2} - x + \frac{1}{4} = 0

∣ x ∣ \geq 7