Topic Details (Notes format)

How to Factor Algebraic Expressions (Common Factor)

Subject: Mathematics

Book: Maths Mastery

Factoring out the greatest common factor (GCF) is a fundamental technique to simplify expressions and solve equations. Suppose you have 6x² + 9x; the GCF is 3x. Factoring yields 3x(2x + 3). This step often precedes more complex factoring methods like grouping or the difference of squares. By extracting the GCF, you reduce expressions to simpler forms, streamline solutions, and clarify how individual terms relate. This skill is vital in advanced algebra, polynomial arithmetic, and a variety of real-life applications that demand systematic problem decomposition.

Practice Questions

How many ways can 4 people sit in a row?

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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The area of an equilateral triangle with side length 6 cm is:

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What is the sum of the first 10 positive even numbers?

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What is the sum of all odd numbers from 1 to 99?

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What is the square root of 144?

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If a number is divisible by 9, it is also divisible by which of the following?

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What is the LCM of 15 and 20?

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What is the cube root of 729?

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If x^2 - 6x + 9 = 0, what is the value of x?

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