A 4th degree polynomial $P ( x )$ with real coefficients and leading coefficient 1 satisfies $$P ( x ) = P ( - x )$$ for every real number $x$. $$P ( 2 ) = P ( 3 ) = 0$$ Given that, what is $\mathbf { P ( 1 ) }$? A) 12 B) 18 C) 24 D) 30 E) 36
A 4th degree polynomial $P ( x )$ with real coefficients and leading coefficient 1 satisfies
$$P ( x ) = P ( - x )$$
for every real number $x$.
$$P ( 2 ) = P ( 3 ) = 0$$
Given that, what is $\mathbf { P ( 1 ) }$?
A) 12
B) 18
C) 24
D) 30
E) 36