Question

13. Considere as funções polinomiais f(x) = 2x – 3, g(x) = -4 – x e h(x) = x2 – x + 1. Determine o polinômio p(x) = f(x) . g(x) + h(x).

Answer 1

f(x) = 2x – 3, g(x) = - 4 - x e h(x) = x² - x + 1
P(x)?
p(x) = f(x) . g(x) + h(x)
p(x) = ((2x - 3)*(- 4 - x)) + x² - x + 1
p(x) = (-8x + -2x² + 12 + 3x) + x² - x + 1
p(x) = -2x² - 5x + 12 + x² - x + 1
p(x) = -x² - 6x + 13

Answer 2

p(x) = f(x) . g(x) + h(x)

p(x)= (2x-3)*(-4-x) + x²-x+1

p(x)= -8x-2x²+12+3x+x²-x+1

p(x)= -x²-6x +13