How is the polynomial \(4x^2+3x^4-x+2\) written in standard form?
Answer and explanation
Correct answer: \(3x^4+4x^2-x+2\)
In the standard form of a polynomial, terms are arranged in descending powers of the variable. Here, the powers are \(4,2,1,0\), so the correct form is \(3x^4+4x^2-x+2\). In option D, the term \(-x\) is placed before \(4x^2\), so the powers are not in descending order. Exam tip: identify the power of each term first, then arrange the terms from the highest power to the lowest.
Frequently asked questions
What is the correct answer to this question?
\(3x^4+4x^2-x+2\)
Why is this the correct answer?
In the standard form of a polynomial, terms are arranged in descending powers of the variable. Here, the powers are \(4,2,1,0\), so the correct form is \(3x^4+4x^2-x+2\). In option D, the term \(-x\) is placed before \(4x^2\), so the powers are not in descending order. Exam tip: identify the power of each term first, then arrange the terms from the highest power to the lowest.
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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