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Factorisation using common factors

Factorization by common factors

Ex 12.1, 1 (i)

Ex 12.1, 1 (ii)

Ex 12.1, 1 (iii) Important

Ex 12.1, 1 (iv) Important

Ex 12.1, 1 (v)

Ex 12.1, 1 (vi) Important You are here

Ex 12.1, 1 (vii)

Ex 12.1, 1 (viii) Important

Example 2 Important

Example 1

Ex 12.1, 2 (i)

Ex 12.1, 2 (ii) Important

Ex 12.1, 2 (iii)

Ex 12.1, 2 (iv) Important

Ex 12.1, 2 (v)

Ex 12.1, 2 (vi)

Ex 12.1, 2 (vii)

Ex 12.1, 2 (viii) Important

Ex 12.1, 2 (ix)

Ex 12.1, 2 (x) Important

Last updated at Aug. 8, 2023 by Teachoo

Ex 12.1, 1 Find the common factors of the given terms. (vi) 〖16𝑥〗^3,−〖4𝑥〗^2, 32𝑥16𝒙^𝟑 = 16 × 𝑥^3 = 2 × 2 × 2 × 2 × 𝑥^3 = 2 × 2 × 2 × 2 × 𝒙 × 𝒙 × 𝒙 −4𝒙^𝟐 = −4 × 𝑥^2 = −1 × 4 × 𝑥^2 = −1 × 2 × 2 × 𝑥^2 = −1 × 2 × 2 × 𝒙 × 𝒙 32𝒙 = 32 × 𝑥 = 2 × 2 × 2 × 2 × 2 × 𝒙 So, 16𝒙^𝟑 = 2 × 2 × 2 × 2 × 𝑥 × 𝑥 × 𝑥 −4𝒙^𝟐 = −1 × 2 × 2 × 𝑥 × 𝑥 32𝒙 = 2 × 2 × 2 × 2 × 2 × 𝑥 So, Common factor = 2 × 2 × 𝑥 = 4 × 𝑥 = 4𝒙