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Which of the following quadratic trinomials can be factorised as the product of two identical binomials?
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Answer and explanation
Correct answer: \(9x^2+24x+16\)
\(9x^2+24x+16=(3x+4)^2\), so it is a product of identical binomials. Check: \(24^2=4\times9\times16=576\). In option B, \(4ac=540\). Exam tip: test \(b^2=4ac\) for a perfect-square trinomial.
Frequently asked questions
What is the correct answer to this question?
\(9x^2+24x+16\)
Why is this the correct answer?
\(9x^2+24x+16=(3x+4)^2\), so it is a product of identical binomials. Check: \(24^2=4\times9\times16=576\). In option B, \(4ac=540\). Exam tip: test \(b^2=4ac\) for a perfect-square trinomial.
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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