What is factor 5p^2+19p+12 ?

The solution to factor 5p^2+19p+12 is (5p+4)(p+3)

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factor 5p^2+19p+12

factor

5 p^{2} + 19 p + 12

(5 p + 4) (p + 3)

Solution steps

5 p^{2} + 19 p + 12

Break the expression into groups

= (5 p^{2} + 4 p) + (15 p + 12)

Factor out

p

from

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

Factor out

3

from

15 p + 12 : 3 (5 p + 4)

= p (5 p + 4) + 3 (5 p + 4)

Factor out common term

5 p + 4

= (5 p + 4) (p + 3)

12 1^{- \frac{1}{2}}

\frac{\frac{1}{32} - \frac{1}{8}}{\frac{1}{4}}

- 10 x^{2} + 13 x + 3 = 0

x^{2} + 18 x - 20 = 0

\frac{1}{8} + \frac{1}{8} + \frac{1}{4}