Question

resolva os quocientes

a) (8x³+ 6x² - 4x) : 2x

b)(6ax - 9bx - 15x) : 3x

c) x² + 10x + 24) : (x+4)

d) (4a² - 7a + 3) : (4a - 3)

Answer 1

Boa tarde 

Resolva os quocientes
  
a) (8x³ + 6x² - 4x) / (2x) = (8x³/2x + 6x²/2x - 4x/2x) = 4x² + 3x - 2

b) (6ax - 9bx - 15x) / (3x) = 6ax/3x -9bx/3x -- 15x/3x = 2a - 3b - 5

c) x² + 10x + 24) / (x + 4) = (x + 6)*(x + 4)/(x + 4) = x + 6 

 delta
 d² = 100 - 96 = 4
 d = 2
 x1 = (-10 + 2)/2 = -4 
 x2 = (-10 - 2)/2 = -6
x² + 10x + 24 = (x + 4)*(x + 6)

d) (4a² - 7a + 3) / (4a - 3) = (a - 1)*(4a - 3)/(4a - 3) = a - 1

4a² - 7a + 3 = 4a² - 4a - 3a + 3 = 4a*(a - 1) - 3*(a -1) = (a - 1)*(4a - 3)