Question

Se considera : E(x)=xla 3 -2x la 2 -x+2
a) descompuneti expresia in produs de factori primi
b) calculati E(-3)
c) E(radical 2) •E (-radical 2) aparține lui N

Answer 1

E(x)=x³ -2x² -x+2 =
=x²(x-2)-(x-2)=
=(x-2)(x²-1)=
=(x-2)(x-1)(x+1)
E(-3)=(-3-2)(-3-1)(-3+1)=(-5)(-4)(-2)=-40
E(√2)*E(√2)=(√2-2)(√2-1)(√2+1)(√2-2)(√2-1)(√2+1)=
=(√2-2)(2-1)(√2-2)(2-1)=
=(√2-2)(√2-2)=
=2+4+2√2*√2)=6+4=10