Question

Найдите p(x)=p1(x)+p2(x), если p1(x)=3x^2+2x-1 ; p2(x)=x^3-3x^2

Answer 1

P(x)=p1(x) - p2(x) + 3p3(x)

p1(x) = 2x^2 - 5x,
p2(x) = 3x^2 + 1,
p3(x) = x - 2

p(x) = (2x^2-5x) - (3x^2+1) + 3*(x-2) =
= 2x^2 - 5x - 3x^2 - 1 + 3x - 6 =
= (2x^2 - 3x^2) + (3x - 5x) - (1+6) =
= -x^2 - 2x - 5 =
= (-1) * (x^2 + 2x + 5) =
= (-1) * [(x+2)^2 + 1]