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Factors of Algebraic Expressions

You know about the prime factorization of numbers. Let us revise the method of prime factorization by taking the example of the number 210.

We can write 210 as a product of 2, 3, 5, and 7.

Hence, 210 = 2 × 3 × 5 × 7

Here, 2, 3, 5, and 7 are the prime factors of 210. In the same way, we can factorize any expression, i.e., we can write any expression as a product of its factors.

For example, 2xyz = 2 × x × y × z

Here, 2, x, y, and z are the factors of 2xyz, and we cannot further reduce them. Thus, we say that 2, x, y, and z are the irreducible factors of 2xyz.

Let us try to find the factors of 3x + 9 in the given video.

Now let us take another example in the given video to understand the concept of factors of a polynomial.

The process of writing a given algebraic expression as a product of two ...

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