Question

Oblicz wartości wielomianów W(x) i P(x) dla: x = -2
P(x) = x⁴ + 5√2x³ - 4x³ + √2 x - 1

Answer 1

P(x) = x⁴ + 5√2x³ - 4x³ + √2 x - 1 = (-2)⁴+5√2(-2)³-4(-2)³+√2(-2)-1 = 16+5√2*-(8)+8+(-2)√2-1 = 16-40√2+8-2√2-1 = 23-42√2

P(x) = x⁴ + 5√2x³ - 4x³ + √2 x - 1
przy -4x³ nie powinno być czasem -4x² ?
bo jeśli tak to:
P(x) = x⁴ + 5√2x³ - 4x² + √2 x - 1 = (-2)⁴ +5√2(-2)³-4(-2)² +√2(-2)-1 = 16+5√2(-8)-16+(-2√2)-1 = 16-40√2-16-2√2-1 = -42√2-1