Question

Considera los monomios p(x)=-5x²+2x-3, Q(x)=3x3-2x²+7 y R(x)=4x²+3 efectúa las operaciones indicadas:
a:4P(X)+3Q(X)

B:P(X)-2R(X)

C:P(X).R(X)

D:P(X).(X)

Answer 1

A) 4P(x) + 3Q(x)
4(-5² + 2x - 3)(x) + 3(3 x 3 - 2x²)(x)
4(25 + 2x - 3)(x) + 3 (9 - 2x²)(x)
(100 + 8x - 12)(x) + (27 - 6x²)(x)
100x + 8x² - 12x + 27x - 6x³
-6x³ + 8x² + 115x 

b)P(x) - 2R(x)
(-5² + 2x - 3)(x) - 2(4x² + 3)(x)
(25 + 2x - 3)(x) - (8x² + 6)(x)
(22 + 2x)(x) - (8x³ + 6x)
22x + 2x² - 8x³ + 6x
-8x³ + 2x² + 28x

c) P(x) · R(x)
(-5² + 2x - 3)(x) · (4x² + 3)(x)
(25 + 2x - 3)(x) · (4x³ + 3x)
(22 + 2x)(x) · (4x³ + 3x)
(22x + 2x²) · (4x³ + 3x)
88x^4 + 66x² + 8x^5 + 6x³

d) P(x) · x
(-5² + 2x - 3)(x) · x
(25 + 2x - 3)(x) · x
(22 + 2x)(x) · x
(22x + 2x²) · x
22x² + 2x³