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

Question 15 Factorization of Polynomials Exercise 3C

𝑥^2 − 32𝑥 − 105

Answer:

Splitting the middle term means rewriting the quadratic expression's middle term as the sum or difference of the two terms. In terms of the total or difference between the words, we must divide the middle term into two halves.

𝑥^2 − 32𝑥 − 105

We can further write it as

= 𝑥^2 − 35𝑥 + 3𝑥 − 105

By taking out the common terms

= x (x – 35) + 3 (x – 35)

So we get,

= (x + 3) (x – 35)

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