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Subjects

Mathematics

Coefficients

In this Class 9 Mathematics topic, students learn how coefficients describe the numerical factors attached to variables in algebraic terms, such as 5x, -3ab, or 1/2y. They practise identifying coefficients, including signs and fractional values, and distinguish them from variables and constants. The topic supports simplification of expressions, combining like terms, and solving common questions involving algebraic notation, helping students read and apply mathematical expressions accurately.

Topic overview

Concept revision

What is the numerical coefficient of the monomial \(10z\)?

The numerical coefficient of a monomial is the number multiplied by its variable. In \(10z = 10 \times z\), the number \(10\) is the coefficient of \(z\).

What is the numerical coefficient of the term 12pq?

The numerical coefficient of an algebraic term is the number multiplied by the product of its variables. In 12pq, 12 is the numerical part, while pq is the variable part, so the correct answer is 12.

What is the coefficient of x in (x^2 + 3x + 2)?

The coefficient of a variable is the numerical factor multiplied by that variable. In the polynomial x² + 3x + 2, the term containing x to the first power is 3x.

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