How do you factor #3x^2+36x+105#?
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A quadratic polynomial can be factored if it has zeroes: you can write
So,
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To factor (3x^2 + 36x + 105), you can follow these steps:

First, check if there is a greatest common factor (GCF) among the terms. In this case, there is no common factor other than 1 among the terms.

Since the coefficient of (x^2) is not 1, you can use the quadratic formula or factor by grouping.

To factor by grouping, first multiply the coefficient of (x^2) (which is 3) by the constant term (which is 105). This gives (3 \times 105 = 315).

Now, find two numbers that multiply to 315 and add up to the coefficient of (x) (which is 36). These numbers are 15 and 21.

Rewrite the middle term (36x) using the two numbers found in the previous step: (3x^2 + 15x + 21x + 105)

Now, group the terms: ((3x^2 + 15x) + (21x + 105))

Factor out the greatest common factor from each group: (3x(x + 5) + 21(x + 5))

Notice that both groups have a common factor of (x + 5). Factor out this common factor: ((3x + 21)(x + 5))

Finally, simplify the expression: (3(x + 7)(x + 5))
So, the factored form of (3x^2 + 36x + 105) is (3(x + 7)(x + 5)).
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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