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Ex 12.3, 2 (iv) - Chapter 12 Class 8 Factorisation
Last updated at May 29, 2023 by Teachoo
Transcript
Ex 12.3, 2 (Method 1) Divide the given polynomial by the given monomial. (iv) (π₯^3 + 2π₯^2 + 3π₯) Γ· 2π₯ π₯^3 + 2π₯^2 + 3π₯ = (π₯^2 Γ π₯) + (2π₯ Γ π₯) + (3 Γ π₯) Taking π₯ common, = π₯ (π₯^2 + 2π₯ + 3) Dividing (π₯^3 " + " 2π₯^2 " + " 3π₯)/2π₯ = (π₯ (π₯^2 + 2π₯ + 3))/2π₯ = π₯/π₯ Γ (π₯^2+ 2π₯ + 3)/2 = (π₯^2+ 2π₯ + 3)/2 = π/π (π^π + 2π + 3) Ex 12.3, 2 (Method 2) Divide the given polynomial by the given monomial. (iv) (π₯^3 + 2π₯^2 + 3π₯) Γ· 2π₯ (π₯^2+ 2π₯ + 3)/2π₯ = π₯^3/2π₯ + (2π₯^2)/2π₯ + 3π₯/2π₯ = (1/2Γπ₯^3/π₯) + (2/2Γπ₯^2/π₯) + (3/2Γπ₯/π₯) = (1/2Γπ₯^2 ) + (1Γπ₯) + (3/2Γ1) = 1/2 π₯^2+ π₯ + 3/2 = (π₯^2+ 2π₯ + 3 )/2 = π/π (π^π + 2π + 3)
