Question

sabendo p(x)= x ²-2x+1, Q(X)= -X²+3 e R(X)= x³+3z, caucule

a) Q(X)- P(X) - R(X)

B) R(X)-P(X)+Q(X)

C)P(X).Q(X)

D)R(X).Q(X)

Answer 1

p(x) = x² - 2x + 1
q(x) = -x² + 3
r(x) = x³ + 3x


a) q(x) - p(x) - r(x) = 
(-x² + 3) - (x² - 2x + 1) - (x³ + 3x) =
-x² + 3 - x² + 2x - 1 - x³ - 3x =
-x³ - 2x² - x + 2

b) r(x) - p(x) + q(x) =
(x³ + 3x) - (x² - 2x + 1) + (-x² + 3) =
x³ + 3x - x² + 2x - 1 - x² + 3 =
x³ - 2x² + 5x + 2

c) p(x) * q(x) =
(x² - 2x + 1) * (-x² + 3) =
-x^4 + 3x² + 2x³ - 6x - x² + 3 =
-x^4 + 2x³ + 2x² - 6x + 3

d) r(x) * q(x) =
(x³ + 3x) * (-x² + 3) =
-x^5 + 3x³ - 3x³ + 9x =
-x^5 + 9x