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Write the expression 5x^10 - 4x^5 + 3 in quadratic form, if possible.

A. 5x^2 - 4x + 3
B. 5x^4 - 4x^2 + 3
C. 5x^6 - 4x^3 + 3
D. 5x^8 - 4x^4 + 3

1 Answer

3 votes

Final answer:

To write the expression 5x^10 - 4x^5 + 3 in quadratic form, we need to factor out a common term from the first two terms. The expression cannot be simplified further into quadratic form.

Step-by-step explanation:

To write the expression 5x^10 - 4x^5 + 3 in quadratic form, we need to factor out a common term from the first two terms. The highest power of x in the expression is x^10, so we can factor out x^5:

5x^5(x^5 - 4) + 3

The expression cannot be simplified further into quadratic form, so the answer is None of the given options.

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