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

Question 27 Factorization of Polynomials Exercise 3B

𝑥^3 − 5𝑥^2 − 𝑥 + 5

Answer:

𝑥^3 − 5𝑥^2 − 𝑥 + 5

By taking the common terms

= 𝑥^2 (𝑥 − 5) − 1(𝑥 − 5)

So we get

= (x – 5) (𝑥^2- 1)

Based on the equation 𝑎^2 − 𝑏^2 = (𝑎 + 𝑏)(𝑎 − 𝑏)

We get,

= (x – 5) (x + 1) (x – 1)

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