Select all polynomials that are divisible by (x-1).

Choose all answers that apply:

*A (x) = 3x^3+2x^2-x

*B (x) = 5x^3-4x^2-x

*C (x) = 2x^3-3x^2+2x-1

*D (x) = x^3+2x^2+3x+2

The answer to your question is below

Step-by-step explanation:

*A (x) = 3x³ + 2x² - x This polynomial is not divisible by (x - 1)

Factor completely 3x (x + 1) (3x - 1)

*B (x) = 5x³ - 4x² - x This polynomial is divisible by (x - 1)

factor completely 3x (x - 1) (5x + 1)

*C (x) = 2x³ - 3x² + 2x - 1 This polynomial is divisible by (x - 1)

Synthetic division 2 - 3 + 2 - 1 1

2 - 1 1

2 - 1 1 0

*D (x) = x³ + 2x² + 3x + 2 This polynomial is not divisible by (x - 1)

Synthetic division 1 2 3 2 1

1 3 6

1 3 6 8