# How do you factor by grouping: #3x^2 + 3 + x^3 + x#?

The factored form of the expression is

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This does it:

I am not sure about the "by grouping" method, but I stumbled on a way to factor that expression.

From there I put the 3 and the x inside a second set of parentheses and saw that

I hope this helps, Steve

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To factor by grouping, we first group the terms into pairs:

(3x^2 + x^3) + (3 + x)

Next, we factor out the greatest common factor from each pair:

x^2(3 + x) + 1(3 + x)

Now, we see that both pairs have a common factor of (3 + x). We can factor this out:

(3 + x)(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.

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