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RS Aggarwal Solutions Class 9 Mathematics Solutions for Factorization of Polynomials Exercise 3C in Chapter 3 - Factorization of Polynomials

Question 22 Factorization of Polynomials Exercise 3C

𝑥^2 − 2√3𝑥 − 24

Answer:

The middle term of a quadratic polynomial must be rewritten as the sum or difference of the two terms, which is known as "splitting the middle term." In terms of the sum or difference of terms, we need to divide the middle term into two halves.

𝑥^2 − 2√3𝑥 − 24

We can further write it as

= 𝑥^2 − 4√3𝑥 + 2√3𝑥 − 24

By taking out the common terms

= x (x -4√3) + 2√3 (x -4√3)

So we get,

= (x + 2√3) (x -4√3)

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