Question

Rewrite the polynomial in standard form
(X-1)(x+1)(x+3)(x-2)

Answer 1

To rewrite the polynomial in standard form, we need to expand and simplify it.

(x - 1)(x + 1)(x + 3)(x - 2) can be expanded as:

x^4 + x^3 + 3x^3 - 3x^2 + x^2 + x - 2x - 2

Combining like terms, we get:

x^4 + 4x^3 - 2x^2 - x - 2

So, the polynomial in standard form is x^4 + 4x^3 - 2x^2 - x - 2.