Question

P(x)=6 x² + 6 x -5 Q(x)= -3 x² - 6 x + 2
a) P(x) + Q(x)
b) Q(x) - P(x)
c) P(x) + P(x) + Q(x)
d) P(x) + Q(x) + P(x)

Answer 1

Respuesta:

a)P(x)+Q(x)=

$=6x^{2} +6x-5+(-3x^{2} - 6 x + 2)\\=6x^{2} +6x-5-3x^{2} - 6 x + 2\\=3x^{2} -3$

b)Q(x) - P(x)=

$=-3x^{2} - 6 x + 2-(6x^{2} +6x-5)\\=-3x^{2} - 6 x + 2-6x^{2}-6x+5\\=-9x^{2} -12x+7$

c) P(x) + P(x) + Q(x)=

$=(6x^{2} + 6x -5)+(6x^{2} + 6x -5) +(-3x^{2} - 6x + 2)\\=6x^{2} + 6x -5+6x^{2} + 6x -5 -3x^{2} - 6x + 2\\=12x^{2} +6x-8$

d) P(x) + Q(x) + P(x) =

$=(6x^{2}+6x -5)+(-3x^{2} -6x+2)+(6x^{2} +6x-5)\\=6x^{2}+6x -5-3x^{2} -6x+2+6x^{2} +6x-5\\=9x^{2}+ 6x-8$

:))