Slide9.JPG

Slide10.JPG
Slide11.JPG

  1. Chapter 2 Class 10 Polynomials (Term 1)
  2. Serial order wise

Transcript

Ex 2.4, 2 Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, โ€“7, โ€“14 respectively. For a cubic Polynomial p(x) = ax3 + bx2 + cx + d With zeroes ฮฑ, ๐›ฝ and ฮณ We have ๐›‚ + ๐›ฝ + ๐›„ = (โˆ’๐’ƒ)/๐’‚ ๐›‚"๐›ฝ" + ๐›ฝ๐›„ + ๐›„๐›‚ = ๐’„/๐’‚ ๐›‚"๐›ฝ" ๐›„= (โˆ’๐’…)/๐’‚ Let cubic polynomial be p(x) = ax3 + bx2 + cx + d Sum of zeroes Sum of zeroes = 2 (โˆ’๐‘)/๐‘Ž = 2 Assuming a = 1 (โˆ’๐‘)/1 = 2 b = โˆ’2 Sum of product of zeroes Sum of product of zeroes = โˆ’7 ๐‘/๐‘Ž = โˆ’7 Assuming a = 1 ๐‘/1 = โˆ’7 c = โˆ’7 Product of zeroes Product of zeroes = โˆ’14 (โˆ’๐‘‘)/๐‘Ž = โˆ’ 14 ๐‘‘/๐‘Ž = 14 Assuming a = 1 ๐‘‘/1 = 14 d = 14 Thus, a = 1, b = โ€“2 , c = โ€“7, d = 14 Hence, our cubic polynomial is p(x) = ax3 + bx2 + cx + d = x3 โ€“ 2x2 โˆ’ 7x + 14

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
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.