Factor out the greatest common factor.

minus

-

14

14p3

plus

+

10

10p2

plus

+

4

4p

-14p^3+10p^2+4p = 2p (-7p^2+5p+2)

Step-by-step explanation:

-14p^3+10p^2+4p

14=2*7

10=2*5

4=2*2

-14p^3+10p^2+4p = - 2*7p^3+2*5p^2+2*2p

The gratest common factor is 2p:

-14p^3+10p^2+4p = 2p [-2*7p^3 / (2p) + 2*5p^2 / (2p) + 2*2p / (2p) ]

-14p^3+10p^2+4p = 2p [-7p^ (3-1) + 5p^ (2-1) + 2]

-14p^3+10p^2+4p = 2p (-7p^2+5p^1+2)

-14p^3+10p^2+4p = 2p (-7p^2+5p+2)