Question

fatore os polinômios a seguir usando o agrupamento a) px + py + bx + by b) k²a - k²b +6a - 6b c) x³+ x² + x + 1 d) ax - ay - bx - by

Answer 1

$a)\\\\px+py+bx+by=p(x+y)+b(x+y)=(x+y)(b+p)\\\\b)\\\\k^2a-k^2b+6a-6b=k^2(a-b)+6(a-b)=(a-b)(k^2+6)\\\\c)\\\\x^3+x^2+x+1=x(x^2+x+1)+1\\\\d)\\\\ax-ay-bx-by=a(x-y)-b(x+y)$