Question

AYUDAAA!
factorice el siguiente polinomio 3x^4 + 2x^2 + 1​

Answer 1

To factorize the polynomial 3x^4 + 2x^2 + 1, substitute a new variable, y, as x^2, then use simple factoring techniques to obtain the factored form (3x^2 + 1)(x^2 + 1).

Step-by-step explanation:

To factorize the polynomial 3x4 + 2x2 + 1, we can use a substitution to simplify it.

Let's substitute a new variable, y, as x2.

Now our polynomial becomes: 3y2 + 2y + 1. We can then factorize it using simple factoring techniques.

The factored form of the polynomial is (3y + 1)(y + 1). Substituting back x2 for y, we get the final factored form as (3x2 + 1)(x2 + 1).