Question

Sejam os polinômios f(x) = 2x2+3x+4, g(x) = x3-x+1 e h(x) = -x2+x-4. Determine: a) f(x)*g(x) b) f(x)-g(x)-h(x) c) h(x)+f(x)

Answer 1

a)2x5-2x3+2x2+3x4-x2+3x+4x3-4x+4=2x5+2x3+3x2+3x4-x+4.

Answer 2

a) f(x)*g(x)= (2x²+3x+4)(x³-x+1)= 2x5-2x³+2x²+3x⁴-3x²+3x+4x³-4x+4= 2x5+3x⁴+2x³-x²-x+4. b) f(x)-g(x)-h(x)= 2x²+3x+4-(x³-x+1)-(-x²+x-4)= 2x²+3x+4-x³+x-1+x²-x+4= -x³+3x²+2x+8. c) h(x)+g(x)= -x²+x-4+x³-x+1= x³-x²-3