Question

aflați rădăcinile pelinomului P(x)
a) P(x)=x²-4x+3
c) P(x)=x²+2x-15
e) P(x)=x³-4x​

Answer 1

Explicație pas cu pas:

a)

P(X) = X² - 4X + 3 = X² - X - 3X + 3 = X(X - 1) - 3(X - 1) = (X - 1)(X - 3)

X = 1

X = 3

c)

P(X) = X² + 2X - 15 = X² + 5X - 3X - 15 = X(X + 5) - 3(X + 5) = (X + 5)(X - 3)

X = -5

X = 3

e)

P(X) = X³ - 4X = X(X² - 4) = X(X + 2)(X - 2)

X = -2

X = 0

X = 2