Question

Fie polinomul P(x)=x²-3X²-mx+12, m∈R. Stiind ca P(1) =6, sa se dezcompuna polinomul P(x) in factori ireductibili. va rog mult

Answer 1

P(1)=1³-3·1²-m·1+12
1-3-m+12=6
-m+10=6
-m=6-10
-m=-4    inmultim -1
m=4
x³-3x²-4x+12=x²(x-3)-3(x-3)=(x-3)(x²-3)=(x-3)(x-√3)(x+√3)