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Find the quotients of each questions:

A) (x⁴ + 4x + 45) divided by (x-3)
B) (x⁵ + 5x³ + 12) divided by (x+3)

1 Answer

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Final answer:

To find the quotients of each question, perform long division. In question A, divide x^4 by x to get x^3, then repeat until the end. In question B, divide x^5 by x to get x^4, then repeat until the end.

Step-by-step explanation:

To find the quotients of each question, you need to perform long division. Let's start with question A:

(x^4 + 4x + 45) divided by (x-3)

First, divide x^4 by x to get x^3. Then, multiply x-3 by x^3 to get x^4 - 3x^3. Subtract this result from the original polynomial to get 7x^3 + 45. Repeat the process with the remainder.

Now let's move on to question B:

(x^5 + 5x^3 + 12) divided by (x+3)

Similar to before, start by dividing x^5 by x to get x^4. Multiply x+3 by x^4 to get x^5 + 3x^4. Subtract this from the original polynomial to get 2x^4 + 5x^3 + 12. Repeat the process until you reach the end.

User Hanh Le
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