Question

NEED HELP. WILL MARK BRAINLIST. DO NOT SPAM

Answer 1

Answer:

  a) x = {-2, 1, 3} are the zeros

  b) y = (x +2)(x -1)(x -3)

  c) y = x^3 -2x^2 -5x +6

Step-by-step explanation:

a) The zeros are the values of x where the graph crosses y=0. Those values are x = -2, x = 1, x = 3.

__

b) If "a" is a zero, then (x-a) is a factor. The factored polynomial is ...

  y = (x +2)(x -1)(x -3)

__

c) This can be multiplied out using the distributive property several times.

  y = (x +2)(x(x -3) -1(x -3))

  = (x +2)(x^2 -3x -x +3)

  = (x +2)(x^2 -4x +3)

  = x(x^2 -4x +3) +2(x^2 -4x +3)

  = x^3 -4x^2 +3x +2x^2 -8x +6

  y = x^3 -2x^2 -5x +6

_____

The supplied graph apparently scales this vertically by a factor of 1/2, since its y-intercept is at (0, 3), not (0, 6).