44 72 2 Consider 2 y So we get 42 7 2 We can write it as 42 8 2 By taking common terms 4y y 2 1 y 2 So we get 4y 1 y 2 Let us replace y by 2 So we get 42 1 2 2 2x 1 2x 1 2 2

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

Question 65 Factorization of Polynomials Exercise 3C

4𝑥^4 + 7𝑥^2 − 2

Answer:

4𝑥^4 + 7𝑥^2 − 2

Consider 𝑥^2 = y

So we get,

= 4𝑦^2 + 7^𝑦 − 2

We can write it as

= 4𝑦^2 + 8𝑦 − 𝑦 − 2

By taking common terms

= 4y (y + 2) – 1 (y + 2)

So we get

= (4y – 1) (y + 2)

Let us replace y by 𝑥^2

So we get,

(4𝑥^2 – 1) (𝑥^2 + 2)

= (2x + 1) (2x – 1) (𝑥^2 + 2)

Related Questions

𝑥^2 + 11𝑥 + 30

𝑥^2 + 18𝑥 + 32

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