Need . will mark brainlist. do not spam
a) what are the zeros of this polynomial that is graphed above?
b) given the graph above, write the equation for this polynomial, in factored form.
c) now, multiply those 3 binomials to expand your polynomial.

the graph is on the bottom along with my answers.

  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.

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

  y = (x +2)(x -1)(x -3)

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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).

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0

2 over 5 and 4 over 15

don’t know last one sorry

step-by-step explanation: