Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Check if factor
Question3 Important Deleted for CBSE Board 2024 Exams
Example 6 Important
Ex 2.3, 1 (i) Important Deleted for CBSE Board 2024 Exams
Ex 2.3, 2 (i) Deleted for CBSE Board 2024 Exams
Example 7 Important You are here
Ex 2.3, 3 (i) Deleted for CBSE Board 2024 Exams
Question 5 Deleted for CBSE Board 2024 Exams
Check if factor
Last updated at Feb. 23, 2024 by Teachoo
Example 7 Find the value of k, if 𝑥−1 is a factor of 4𝑥^3+3𝑥^2−4𝑥+𝑘 Finding remainder when 𝟒𝒙^𝟑+𝟑𝒙^𝟐−𝟒𝒙+𝒌 is divided by x – 1 Step 1: Putting Divisor = 0 x – 1 = 0 x = 1 Step 2: Let 𝑝(𝑥) = 4𝑥^3+3𝑥^2−4𝑥+𝑘 Putting x = 1 𝑝(𝟏) = 4〖(𝟏)〗^3+3〖(𝟏)〗^2− 4(𝟏)+𝑘 Dividend Divisor = 4+3− 4+𝑘 = 𝟑+𝒌 Thus, Remainder = 𝑝(1) = 3+𝑘 Step 3: Since 𝑥 – 1 is a factor of 4𝑥^3+3𝑥^2−4𝑥+𝑘 ∴ 𝒑(𝟏) = 0 3+𝑘 = 0 k = −3 Thus, k = −𝟑