Factorise (6x^2+11x+3).
Answer and explanation
Correct answer: \((3x+1)(2x+3)\)
Expanding \((3x+1)(2x+3)\) gives \(6x^2+9x+2x+3=6x^2+11x+3\). Therefore, option A is correct. Option B has the constant term \(3\), but its middle term is \(19x\), so it is not the correct factorisation. Exam tip: verify a factorisation by expanding the binomials and checking both the middle term and the constant term.
Frequently asked questions
What is the correct answer to this question?
\((3x+1)(2x+3)\)
Why is this the correct answer?
Expanding \((3x+1)(2x+3)\) gives \(6x^2+9x+2x+3=6x^2+11x+3\). Therefore, option A is correct. Option B has the constant term \(3\), but its middle term is \(19x\), so it is not the correct factorisation. Exam tip: verify a factorisation by expanding the binomials and checking both 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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