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Which option correctly writes the polynomial \\(8-3x+2x^2\\) in descending powers of x?

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Answer and explanation

Correct answer: \\(2x^2-3x+8\\)

In descending order, the term with the highest power of x is written first, followed by terms with decreasing powers. The powers here are 2, 1, and 0, so the correct form is \\(2x^2-3x+8\\). Options B and C incorrectly change the sign of the x-term, while D changes signs and does not preserve the polynomial. Exam tip: identify each term’s power before arranging the terms from greatest to least.

Related tags

Polynomials In One VariableDescending PowersTerm ArrangementPolynomial Standard Form

Frequently asked questions

What is the correct answer to this question?

\\(2x^2-3x+8\\)

Why is this the correct answer?

In descending order, the term with the highest power of x is written first, followed by terms with decreasing powers. The powers here are 2, 1, and 0, so the correct form is \\(2x^2-3x+8\\). Options B and C incorrectly change the sign of the x-term, while D changes signs and does not preserve the polynomial. Exam tip: identify each term’s power before arranging the terms from greatest to least.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.

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