What is factor 3p^2+14p+8 ?

The solution to factor 3p^2+14p+8 is (3p+2)(p+4)

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factor 3p^2+14p+8

factor

3 p^{2} + 14 p + 8

(3 p + 2) (p + 4)

Solution steps

3 p^{2} + 14 p + 8

Break the expression into groups

= (3 p^{2} + 2 p) + (12 p + 8)

Factor out

p

from

3 p^{2} + 2 p : p (3 p + 2)

Factor out

4

from

12 p + 8 : 4 (3 p + 2)

= p (3 p + 2) + 4 (3 p + 2)

Factor out common term

3 p + 2

= (3 p + 2) (p + 4)

4 x^{2} + 20 x + 25

\frac{2}{x + 2} \geq \frac{1}{x - 3}

0 = 3 x^{2} - 3

(x^{2})^{\frac{2}{5}}

6 p^{2} + 5 p + 1