Question

• Considera los polinomios A, B y C calcula A + B y B + C.
A = 3x3 + 6x - 5
B = x3 - x + 2
C = x2 - 6x - 1.

• Dados los polinomios P, Q y R calcula P.Q-R
P = 2x2 - 3x + 1
Q = 2x + 1
R = x3 - 2x

Answer 1

$(3x^{3}+6x-5)+(x^{3}-x+2)$
$3x^{3}+6x-5+x^{3}-x+2$
$4x^{3}+5x-3$
A + B = $4x^{3}+5x-3$

$(x^{3}-x+2)+(x^{2}-6x-1)$
$x^{3}-x+2+x^{2}-6x-1$
$x^{3}+x^{2}-7x+1$
B + C = $x^{3}+x^{2}-7x+1$

$(2x^{2}-3x+1)(2x+1)$
$2x^{3}+2x^{2}-6x^{2}-3x+2x+1$
$2x^{3}-4x^{2}-1x+1$
(P) (Q) = $2x^{3}-4x^{2}-1x+1$

$(2x^{3}-4x^{2}-1x+1)-(x^{3}-2x)$
$2x^{3}-4x^{2}-1x+1-x^{3}+2x$
$x^{3}-4x^{2}+1x+1$
(P) (Q) - R = $x^{3}-4x^{2}+1x+1$