Dados A = x² - 4x + 3, B = -2x³ + x² e C = -
2x + 4, determine:
a) A + C
b) B- (A - C)
c) C. (A + B)
d) A B C C
2x + 4, determine:
a) A + C
b) B- (A - C)
c) C. (A + B)
d) A B C C
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Resposta:
a) A + C = (x² - 4x + 3) + (-2x + 4) = x² - 6x + 7
b) B - (A - C) = -2x³ + x² - (x² - 4x + 3 + (-2x + 4)) = -2x³ - 4x - 1
c) C . (A + B) = (-2x + 4)(x² - 4x + 3 - 2x³ + x²) = -2x³ + 3x² - 16x + 12
d) A B C C = (x² - 4x + 3)(-2x³ + x²)(-2x + 4)(-2x + 4) = -4x¹⁰ + 32x⁹ - 94x⁸ + 144x⁷ - 131x⁶ + 84x⁵ - 33x⁴ + 36x³ - 48x² + 48x - 48
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