Which polynomial is obtained by simplifying (2x+3x-1)?
Answer and explanation
Correct answer: \(5x-1\)
\(2x\) and \(3x\) are like terms, so their coefficients are added: \(2x+3x=(2+3)x=5x\). The constant term \(-1\) remains unchanged; hence the simplified polynomial is \(5x-1\). \(6x-1\) would result only if the coefficients added to 6. Exam tip: combine only terms with the same variable and the same exponent.
Frequently asked questions
What is the correct answer to this question?
\(5x-1\)
Why is this the correct answer?
\(2x\) and \(3x\) are like terms, so their coefficients are added: \(2x+3x=(2+3)x=5x\). The constant term \(-1\) remains unchanged; hence the simplified polynomial is \(5x-1\). \(6x-1\) would result only if the coefficients added to 6. Exam tip: combine only terms with the same variable and the same exponent.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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