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1 vote
Divide the polynomials.

5

4
+
9
5x
4
+9 ÷
2
2

a)
2.5

4
+
4.5
2.5x
4
+4.5
b)
2.5

4
+
4.5

3
2.5x
4
+4.5x
3

c)
5

4
+
4.5
5x
4
+4.5
d)
5

3
+
4.5
5x
3
+4.5

1 Answer

4 votes

Final answer:

To divide the given polynomials, perform polynomial long division.

Step-by-step explanation:

To divide the given polynomials, we need to perform polynomial long division. Here are the steps:

  1. Arrange the polynomials in descending order of exponents.
  2. Divide the first term of the dividend by the first term of the divisor. This gives us the first term of the quotient.
  3. Multiply the entire divisor by the obtained quotient and subtract it from the dividend.
  4. Bring down the next term of the dividend and repeat steps 2 and 3.
  5. Continue this process until all the terms of the dividend have been divided.

So, the correct answer is (c) 5 - 4 + 4.5 / 5x^4 + 4.5.

User Liang Xiao
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