If x² + kx + 12 = 0 is a quadratic equation, then k is the coefficient of which term?
Answer and explanation
Correct answer: The x term
The governing concept is comparison with the standard quadratic form ax² + bx + c = 0. In this form, a is the coefficient of x², b is the coefficient of x, and c is the constant term. In the given equation, the middle term is kx. Since the coefficient is the factor multiplying the variable, k is the coefficient of x in kx. The coefficient of x² is 1, while 12 is the constant term because it contains no variable. The zero on the right is the value to which the expression is equated, not the term represented by k. Therefore, k is the coefficient of the x term, so option B is correct. The other choices confuse the roles of a, b, and c.
Frequently asked questions
What is the correct answer to this question?
The x term
Why is this the correct answer?
The governing concept is comparison with the standard quadratic form ax² + bx + c = 0. In this form, a is the coefficient of x², b is the coefficient of x, and c is the constant term. In the given equation, the middle term is kx. Since the coefficient is the factor multiplying the variable, k is the coefficient of x in kx. The coefficient of x² is 1, while 12 is the constant term because it contains no variable. The zero on the right is the value to which the expression is equated, not the term represented by k. Therefore, k is the coefficient of the x term, so option B is correct. The other choices confuse the roles of a, b, and c.
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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