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Which of the following trinomials is a perfect-square trinomial and will factorise into two identical binomials?
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Answer and explanation
Correct answer: \(4x^2-12x+9\)
\(4x^2-12x+9=(2x)^2-2(2x)(3)+3^2\), so it is \((2x-3)^2\) and has identical binomial factors. In B and D, the negative constant prevents this form. Exam tip: check the middle term using twice the product of square roots.
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What is the correct answer to this question?
\(4x^2-12x+9\)
Why is this the correct answer?
\(4x^2-12x+9=(2x)^2-2(2x)(3)+3^2\), so it is \((2x-3)^2\) and has identical binomial factors. In B and D, the negative constant prevents this form. Exam tip: check the middle term using twice the product of square roots.
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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