Question

considere p(x)=2x3+3x2+4x+1 Q(x)=3x3+5x2-x-3 e R(x)=2x+1 , calcule

A) P(x)+Q(x)
B)P(x)-Q(x)
C)P(x)+R(x)
D) Q(x).R(x)

Answer 1

A) $P(x)+Q(x)$

$2x^{3}+3x^{2}  +4x+1+3x^{3}+5x^{2}  -x-3$

$5x^{3} +8x^{2} +3x-2$

B)$P(x)-Q(x)$

$2x^{3}+3x^{2}  +4x+1-3x^{3}-5x^{2}  +x+3$

$-x^{3} -2x^{2} +5x+4$

C)$P(x)+R(x)$

$2x^{3}+3x^{2}  +4x+1+2x+1$

$2x^{3} +3x^{2} +6x+2$

D)$Q(x).R(x)$

$(3x^{3}+5x^{2}  -x-3).(2x+1)$

$6x^{4}+10x^{3} -2x^{2} -6x+3x^{3}+5x^{2}  -x-3$

$6x^{4} +13x^{3} +3x^{2} -7x-3$