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Which of the following trinomials is the product of two identical linear factors?
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Answer and explanation
Correct answer: \(x^2-12x+36\)
\(x^2-12x+36=(x-6)^2=(x-6)(x-6)\), so its two linear factors are identical. In option B, the constant term is not \(36\). Exam tip: in a perfect-square trinomial, the middle term is \(\pm2ab\).
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What is the correct answer to this question?
\(x^2-12x+36\)
Why is this the correct answer?
\(x^2-12x+36=(x-6)^2=(x-6)(x-6)\), so its two linear factors are identical. In option B, the constant term is not \(36\). Exam tip: in a perfect-square trinomial, the middle term is \(\pm2ab\).
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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