Question

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

Answer 1

B(x) and C(x)

Explanation:

B(x) and C(x)

Answer 2

The answer to your question is below

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