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Which is the correct factorisation of (2x^2+9x+10)?
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Answer and explanation
Correct answer: \((2x+5)(x+2)\)
The correct factorisation is \((2x+5)(x+2)\), because expanding it gives \(2x^2+4x+5x+10=2x^2+9x+10\). In option B, the middle term becomes \(21x\), so it is not correct. In exams, expand the factors to check the middle term and the constant term.
Frequently asked questions
What is the correct answer to this question?
\((2x+5)(x+2)\)
Why is this the correct answer?
The correct factorisation is \((2x+5)(x+2)\), because expanding it gives \(2x^2+4x+5x+10=2x^2+9x+10\). In option B, the middle term becomes \(21x\), so it is not correct. In exams, expand the factors to check the middle term and the constant term.
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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