How do you factor #x^3 – 4x^2 +x + 6#?
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Provided the expression has rational roots, we can use the rational root theorem.
For the expression With the use of a spreadsheet these values can be easily checked (it can also be done with a calculator or even manually with a bit more effort). By signing up, you agree to our Terms of Service and Privacy Policy
according to the rational root theorem, possible rational roots are:
To factor the expression x^3 - 4x^2 + x + 6, you can use a variety of factoring methods such as grouping, synthetic division, or the rational root theorem. One possible method is to use grouping:
- Group the terms: (x^3 - 4x^2) + (x + 6)
- Factor out the greatest common factor from each group: x^2(x - 4) + 1(x - 4)
- Factor out the common binomial factor (x - 4): (x - 4)(x^2 + 1)
So, the factored form of x^3 - 4x^2 + x + 6 is (x - 4)(x^2 + 1).
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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.
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.

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