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Choose the correct factorisation of (2x^2+5x+2).
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Answer and explanation
Correct answer: \((2x+1)(x+2)\)
Expanding \((2x+1)(x+2)\) gives \(2x^2+4x+x+2=2x^2+5x+2\), so option A is correct. Option B expands to \(2x^2+4x+2\), which does not have the middle term \(5x\). Exam tip: Multiply the factors and check both the leading and middle terms.
Frequently asked questions
What is the correct answer to this question?
\((2x+1)(x+2)\)
Why is this the correct answer?
Expanding \((2x+1)(x+2)\) gives \(2x^2+4x+x+2=2x^2+5x+2\), so option A is correct. Option B expands to \(2x^2+4x+2\), which does not have the middle term \(5x\). Exam tip: Multiply the factors and check both the leading and middle terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
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