Question

porfa ayudenme resolviendo

Answer 1

P(x) = 6x³-3x²-x-5  
Q(x) = x²+2x+4

(P+Q)(x) =  6x³-3x²-x-5 + (x²+2x+4)
(P+Q)(x) = 6x³-3x²-x-5 + x²+2x+4
(P+Q)(x) = 6x³-2x²+x-1 

(Q-P)(x) = x²+2x+4 - (6x³-3x²-x-5)
(Q-P)(x) = x²+2x+4 - 6x³+3x²+x+5
(Q-P)(x) = -6x³+4x²+3x+9

(P*Q)(x) =  6x³-3x²-x-5(x²+2x+4)
(P*Q)(x) = 6x⁵+12x⁴+24x³ - 3x⁴-6x³-12x²-x³-2x²-4x - 5x²-10x-20
(P*Q)(x) = 6x⁵ (+12x⁴- 3x⁴) +(24x³-6x³-x³) -12x²-2x²- 5x²  -4x-10x -20
(P*Q)(x) = 6x⁵+9x⁴ +17x³ -19x² -14x-20

(Q(x))³= (x²+2x+4)³
(Q(x))³= x⁵+2x³+ 64