# How do you factor #3b^2 + 4b - 4#?

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To factor the expression 3b^2 + 4b - 4, you can use the quadratic formula or factor by grouping method.

Using the quadratic formula:
a = 3, b = 4, c = -4
b^2 - 4ac = 4^2 - 4*3*(-4) = 16 + 48 = 64
Since b^2 - 4ac = 64, which is a perfect square, the expression can be factored.
The factors of 3b^2 + 4b - 4 are:
(3b - 2)(b + 2)

Using the factor by grouping method: 3b^2 + 4b - 4 = 3b^2 + 6b - 2b - 4 = 3b(b + 2) - 2(b + 2) = (3b - 2)(b + 2)

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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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