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A(x) + B(x) +C(x) = (x³ - 3 x² + x) +( 2x² + x - 1 ) + ( x² - 2 ) =
= x³ - 3x² + x + 2x² + x - 1 + x² -2 =
= x³ + 2 x - 3
Restas
A(x) - ( B(x) - C (x) ) = ( x³ - 3x² + x ) - ( ( 2 x² + x - 1 ) - ( x² - 2 ) ) =
= ( x³ - 3x² + x ) - ( 2x² + x - 1 - x² + 2 ) =
= x³ - 3x² + x - 2x² - x + 1 + x² - 2 =
= x³ - 4x² - 1
Multiplicaciones
a) C(x) B(x) = ( x² - 2 ) ( 2x² + x - 1 ) = 2x⁴ + x³ - x² - 4x² - 2x + 2
= 2x⁴ + x³ - 5x² - 2x + 2
b) C(x) A(x) = ( x² - 2 ) ( x³ - 3x² + x ) = x⁵ - 3x⁴ + x³ - 2x³ + 6x² - 2x =
= x⁵ - 3x⁴ - x³ + 6x² - 2x
c) C(x) C(x) = ( x² - 2 ) ( x² - 2 ) = x⁴ - 2x² - 2x² + 4 =
= x⁴ - 4x² + 4