# How do you find the quotient of #(y^2-36)div(y^2+6y)#?

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To find the quotient of (y^2-36) divided by (y^2+6y), we can use polynomial long division.

First, divide the highest degree terms: y^2 divided by y^2 gives us 1.

Next, multiply the divisor (y^2+6y) by the quotient term we just found (1), giving us y^2+6y.

Subtract this product from the dividend (y^2-36) to get -42y.

Now, bring down the next term from the dividend, which is -42y.

Divide -42y by y^2+6y to get -42.

Multiply the divisor (y^2+6y) by the quotient term (-42), giving us -42y-252.

Subtract this product from the previous result (-42y) to get 252.

Since there are no more terms left in the dividend, the quotient is 1 - 42, or simply -42.

Therefore, the quotient of (y^2-36) divided by (y^2+6y) is -42.

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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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