Question

Factor out the greatest common factor.

minus
−
14
14p3
plus
+
10
10p2
plus
+
4
4p

Answer 1

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

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)