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Last updated at Aug. 25, 2021 by Teachoo

Transcript

Ex 2.4, 2 Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following cases: (ii) p(x) = x3 + 3x2 + 3x + 1 , g(x) = x + 2 Finding remainder when x3 + 3x2 + 3x + 1 is divided by x + 2 Step 1: Put Divisor = 0 x + 2 = 0 x = –2 Step 2: p(x) = x3 + 3x2 + 3x + 1 Putting x = –2 p(–2) = (−2)3 + 3(−2)2 + 3(−2) + 1 = (–8) + 3(4) – 6 + 1 = –8 + 12 – 6 + 1 = –1 Thus, Remainder = p(–2) = –1 Since remainder is not zero, x + 2 is not a factor of x3 + 3x2 + 3x + 1

Ex 2.4

Ex 2.4, 1 (i)
Important

Ex 2.4, 1 (ii)

Ex 2.4, 1 (iii)

Ex 2.4, 1 (iv) Important

Ex 2.4, 2 (i)

Ex 2.4, 2 (ii) Important You are here

Ex 2.4, 2 (iii)

Ex 2.4, 3 (i)

Ex 2.4, 3 (ii) Important

Ex 2.4, 3 (iii) Important

Ex 2.4, 3 (iv)

Ex 2.4, 4 (i)

Ex 2.4, 4 (ii) Important

Ex 2.4, 4 (iii)

Ex 2.4, 4 (iv) Important

Ex 2.4, 5 (i)

Ex 2.4, 5 (ii) Important

Ex 2.4, 5 (iii) Important

Ex 2.4, 5 (iv)

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.