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Select all polynomials that are divisible by (x+3). Choose all that apply.

A) A(x) = x^3 + 4x^2 - 9
B) B(x) = x^3 - x^2 - 18
C) C(x) = x^3 - 6x - 9
D) D)(x) = x^3 + 3x + 3

Respuesta :

Answer:

A)

Step-by-step explanation:

A)  x^3+4x^2-9=(x+3)*(x^2+x-3)

B) Not divisible by (x+3)  .  Lets try to divide

x^3-x^2   -0*x-18 I: x+3

x^3+x^2              I  x^2 -2x +6

-------------

     -2*x^2-0*x

    -2*x^2- 6*x

              + 6*x-18

              +6*x+18

                        =36 - the rest of expression after dividing by x+3

=> x^3-x^2-18 is not divisible by (x+3)

Similarly to B )   C) and D) also are not divisible  be (x+3)

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