SOLUTION: if P^3+3P^2+3P=7, then the value of P^2+2P is

Question 925979: if P^3+3P^2+3P=7, then the value of P^2+2P is
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The requested expression may have more than just one possible value, but at least this analysis works:

and testing of roots using Rational Roots Theorem and synthetic division shows....

_______1_____|_______1______3_______3______-7
_____________|
_____________|
_____________|_____________1_______4________7
__________________________________________________
____________________1______4_______7_________0

Note the remainder of 0.
The equation is , with the found solution p=1.

You can use this to get a value for the expression .

.

No other real value for p.
The quadratic factor is not factorable in real numbers.
(Discriminant is .)
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