Answer:
If the polynomial is degree 3, then it is of the form y = Ax3 + Bx2 +Cx + D
And if the zeros are -2 with multiplicity of 1, then the factor is (x+2)1 = x+2
The other zero is -4 with multiplicity of 2, so it's factor is (x+4)2 = x2 +8x+16
So in general, if we let A = 1, then the polynomial is y = (x+2)(x+4)2 which multiplies out to
(x+2)(x2+8x+16) = x3 + 8x2 + 16x + 2x2 + 16x + 32
Combining like terms gives the polynomial:
y = x3 +10x2 + 32x + 32
If A is not 1, then y = A(x3 +10x2 + 32
