Question

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

Answer 1

A)

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)