How do you divide #(4x^5 +8x^4 8x^3 +4x^2 +x8) / (5x^2 4x+9)#?
Since coefficient of highest power of
Quotient
Remainder
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To divide (4x^5 + 8x^4  8x^3 + 4x^2 + x  8) by (5x^2  4x + 9), you can use long division. Here are the steps:

Start by dividing the highest degree term of the numerator (4x^5) by the highest degree term of the denominator (5x^2). The result is (4/5)x^(52) = (4/5)x^3.

Multiply the entire denominator (5x^2  4x + 9) by the result obtained in step 1, which is (4/5)x^3. This gives you (4/5)x^3 * (5x^2  4x + 9) = (4/5)x^3 * 5x^2  (4/5)x^3 * 4x + (4/5)x^3 * 9.

Subtract the result obtained in step 2 from the numerator (4x^5 + 8x^4  8x^3 + 4x^2 + x  8). This gives you (4x^5 + 8x^4  8x^3 + 4x^2 + x  8)  [(4/5)x^3 * 5x^2  (4/5)x^3 * 4x + (4/5)x^3 * 9].

Simplify the expression obtained in step 3 by combining like terms.

Repeat steps 14 with the simplified expression obtained in step 4 until you have no more terms to divide.

The final result will be the quotient obtained from the division.
Note: It is important to carefully perform each step and simplify the expression after each subtraction to ensure accuracy in the division process.
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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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