Which of the following is a monic quadratic equation?
Answer and explanation
Correct answer: \(x^2+5x+6=0\)
A monic quadratic has the coefficient of \(x^2\) equal to 1. In option A, \(x^2+5x+6=0\) has coefficient 1 for \(x^2\), so it is monic. The closest distractor is option B because it is also a quadratic but has coefficient 2 for \(x^2\), so it is not monic. Exam tip: to identify a monic quadratic quickly, check only the coefficient of \(x^2\); if it is 1, the quadratic is monic.
Frequently asked questions
What is the correct answer to this question?
\(x^2+5x+6=0\)
Why is this the correct answer?
A monic quadratic has the coefficient of \(x^2\) equal to 1. In option A, \(x^2+5x+6=0\) has coefficient 1 for \(x^2\), so it is monic. The closest distractor is option B because it is also a quadratic but has coefficient 2 for \(x^2\), so it is not monic. Exam tip: to identify a monic quadratic quickly, check only the coefficient of \(x^2\); if it is 1, the quadratic is monic.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
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