If the coefficients of a quadratic expression are 1, 6 and 9 respectively, what type of expression is it?
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Answer and explanation
Correct answer: पूर्ण वर्ग त्रिपद
The expression is \(x^2+6x+9\). Here \(9=3^2\) and the middle term is \(6x=2\cdot x\cdot3\), so it equals \((x+3)^2\). Hence it is a perfect-square trinomial. Exam tip: check the middle-term pattern \(2ab\).
Frequently asked questions
What is the correct answer to this question?
पूर्ण वर्ग त्रिपद
Why is this the correct answer?
The expression is \(x^2+6x+9\). Here \(9=3^2\) and the middle term is \(6x=2\cdot x\cdot3\), so it equals \((x+3)^2\). Hence it is a perfect-square trinomial. Exam tip: check the middle-term pattern \(2ab\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.
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