# How do you factor #x^4 - 13x^2 + 4#?

Alternatively, consider the following:

So we find:

Alternatively again, consider the following:

Hence the same linear factorisation as before.

By signing up, you agree to our Terms of Service and Privacy Policy

To factor the expression (x^4 - 13x^2 + 4), you can treat it as a quadratic equation in terms of (x^2). So, let (y = x^2). Then, the expression becomes (y^2 - 13y + 4), which can be factored as ((y - 1)(y - 4)). Substituting back (y = x^2), the factors become ((x^2 - 1)(x^2 - 4)). Finally, you can further factor each quadratic term: (x^2 - 1) factors to ((x + 1)(x - 1)), and (x^2 - 4) factors to ((x + 2)(x - 2)). So, the complete factorization of (x^4 - 13x^2 + 4) is ((x + 1)(x - 1)(x + 2)(x - 2)).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7