Which expression is written in standard polynomial form?
Answer and explanation
Correct answer: (x^3+2x+5)
A polynomial in standard form is written in descending order of powers of the variable. The term with the highest exponent comes first, followed by terms with successively smaller exponents, and the constant term comes last. In option B, the terms are arranged as \(x^3+2x+5\), with powers 3, 1, and 0. Therefore option B is the expression in standard polynomial form.
The missing \(x^2\) term is understood to have coefficient zero, so it does not need to be written. The other options contain the same terms but place the constant or lower-power terms before the cubic term. They are mathematically equivalent expressions, but they are not arranged in the requested standard descending-power order.
Frequently asked questions
What is the correct answer to this question?
(x^3+2x+5)
Why is this the correct answer?
A polynomial in standard form is written in descending order of powers of the variable. The term with the highest exponent comes first, followed by terms with successively smaller exponents, and the constant term comes last. In option B, the terms are arranged as \(x^3+2x+5\), with powers 3, 1, and 0. Therefore option B is the expression in standard polynomial form.
The missing \(x^2\) term is understood to have coefficient zero, so it does not need to be written. The other options contain the same terms but place the constant or lower-power terms before the cubic term. They are mathematically equivalent expressions, but they are not arranged in the requested standard descending-power order.
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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