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

Question 27 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)

Related Questions

𝑥^2 + 11𝑥 + 30

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𝑥^2 + 20𝑥 − 69

𝑥^2 + 19𝑥 − 150

𝑥^2 + 7𝑥 − 98

𝑥^2 + 2√3𝑥 − 24

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Exercises

Factorization of Polynomials Exercise 3A

Factorization of Polynomials Exercise 3B

Factorization of Polynomials Exercise 3C

Factorization of Polynomials Exercise 3D

Factorization of Polynomials Exercise 3E

Factorization of Polynomials Exercise 3F

Factorization of Polynomials Exercise 3G

Chapters

Number Systems

Polynomials

Factorization of Polynomials

Linear Equations In Two Variables

Coordinate Geometry

Introduction To Euclids Geometry

Lines And Angles

Triangles

Congruence Of Triangles And Inequalities In A Triangle

Quadrilaterals

Areas Of Parallelograms And Triangles

Circles

Geometrical Constructions

Areas Of Triangles And Quadrilaterals

Volume And Surface Area Of Solids

Mean Median And Mode Of Ungrouped Data

Probability