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Express: x-2+x²-5x⁶+x³+23 - 9x as a single fraction in the form: ax+b+cx²+dx where a, b, c and d are integers to be found

User Adyt
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1 Answer

3 votes

Final answer:

The expression is simplified by combining like terms and organizing in descending powers of x, resulting in a polynomial – not a fraction – in the form of -5x⁶ + x³ + x² - 10x + 21.

Step-by-step explanation:

To express the given expression as a single fraction in the form ax + b + cx² + dx⁴ where a, b, c, and d are integers, we first need to combine like terms.

Given expression: x - 2 + x² - 5x⁶ + x³ + 23 - 9x. Let's organize the terms in descending powers of x. This gives us -5x⁶ + x³ + x² - (9x + x) - 2 + 23.

Next, we combine the like terms, specifically the terms with x and the constant terms. The x terms combine to -10x, and the constant terms combine to 21.

Our final expression is -5x⁶ + x³ + x² - 10x + 21. This is already in the form of a polynomial, not a fraction. There's no denominator to form a fraction, so the expression as provided is in its simplest form.

User Thierry Templier
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8.4k points
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