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In the standard quadratic equation (ax^2+bx+c=0), what is the maximum number of different terms?

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Answer and explanation

Correct answer: (3)

A quadratic equation has highest power 2, so its standard form is written as \\(ax^2+bx+c=0\\), where \\(a\\ne0\\). This form can contain three kinds of terms: the quadratic term \\(ax^2\\), the linear term \\(bx\\), and the constant term \\(c\\). If a coefficient is zero, one of these terms may disappear in a particular equation, but the maximum possible number of different terms remains three.

For example, \\(2x^2+5x+7=0\\) contains all three terms. The symbols \\(a\\), \\(b\\), and \\(c\\) are coefficients or constants attached to these terms, not extra terms themselves. Hence the maximum is 3, which is option C. Option 2 would apply only when one term is absent, while option 4 incorrectly counts something that is not a separate algebraic term.

Related tags

Quadratic-EquationsTermsStandard-Form

Frequently asked questions

What is the correct answer to this question?

(3)

Why is this the correct answer?

A quadratic equation has highest power 2, so its standard form is written as \\(ax^2+bx+c=0\\), where \\(a\\ne0\\). This form can contain three kinds of terms: the quadratic term \\(ax^2\\), the linear term \\(bx\\), and the constant term \\(c\\). If a coefficient is zero, one of these terms may disappear in a particular equation, but the maximum possible number of different terms remains three.

For example, \\(2x^2+5x+7=0\\) contains all three terms. The symbols \\(a\\), \\(b\\), and \\(c\\) are coefficients or constants attached to these terms, not extra terms themselves. Hence the maximum is 3, which is option C. Option 2 would apply only when one term is absent, while option 4 incorrectly counts something that is not a separate algebraic term.

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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