Can you help me with the "factored form", and "synthetic division"? (Algebra 2)

Write 4x^3 + 8x^2 - 96x in factored form.

A: 6x(x + 4)(x - 4)
B: 4x(x - 4)(x + 6)
C: 4x(x + 6)(x + 4)
D: x^2 + 10x - 10

I picked B. Am I right?

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Use synthetic division to fin P(2) for P(x) = x^4 + 3x^3 - 6x^2 - 10x + 8

A: 2
B: 28
C: 4
D: -16

I picked C. Am I right?

1. 4x^3 + 8x^2 - 96x

4x(x^2 + 2x -16) = 0

1. 4x = 0

2. x^2 + 2x - 16

x(x + 2) = 16

x = 16

3. x = -2


2. x^4 + 3x^3 - 6x^2 - 10x + 8

x(x^3 + 3x^2 - 6x - 10 + 8) = 0

1. x = 0

2. x^3 + 3x^2 - 6x - 10 + 8

x(x^2 + 3x - 6 - 10 + 8)

x(x^2 + 3x) = - 8

x = - 8

3. x^2 + 3x = 0

x (x + 3) = 0

x = 0

4. x + 3 = 0

x = -3

x = 0

3.