What is the factorised form of (6x^2+13x+6)?
Answer and explanation
Correct answer: \((2x+3)(3x+2)\)
The correct factorisation is \((2x+3)(3x+2)\), because expanding it gives \(6x^2+4x+9x+6=6x^2+13x+6\). In option B, the middle term becomes \(15x\), so it is incorrect. Exam tip: expand the factors and check whether the middle-term coefficients add to the required coefficient.
Frequently asked questions
What is the correct answer to this question?
\((2x+3)(3x+2)\)
Why is this the correct answer?
The correct factorisation is \((2x+3)(3x+2)\), because expanding it gives \(6x^2+4x+9x+6=6x^2+13x+6\). In option B, the middle term becomes \(15x\), so it is incorrect. Exam tip: expand the factors and check whether the middle-term coefficients add to the required coefficient.
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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