Question

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

Choose all answers that apply:

A. A(x) = x^4 – 3x^3 - 4

B. B(x) = x^4 + 2x + 1

C. C(x) = x^3 – 3x^2 + 4x – 2

D. D(x) = 2^3 + 2x^2 – 5x – 6

Answer 1

To determine if a polynomial is divisible by (x + 1), check if the remainder is zero when dividing by (x + 1). A(x), B(x), and C(x) are divisible, while D(x) is not.

Step-by-step explanation:

Selecting the polynomials that are divisible by (x + 1) requires checking if (x + 1) is a factor of each polynomial. To do this, we can use synthetic division or long division. If the remainder is zero, then the polynomial is divisible by (x + 1). A(x) = x^4 – 3x^3 - 4, B(x) = x^4 + 2x + 1, and C(x) = x^3 – 3x^2 + 4x – 2 are all divisible by (x + 1) because when divided, the remainder is zero. D(x) = 2^3 + 2x^2 – 5x – 6 is not divisible by (x + 1) because it has a non-zero remainder.

Answer 2

A, B, and D

Step-by-step explanation:

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