A polynomial q(t) with sum of zeroes as 1 and the product as −6 is modelling Anu’s height in feet above the water at any time t( in seconds). Then q(t) is given by

(a) t 2 + t + 6   (b) t 2 + t − 6

(c) −8t 2 + 8t + 48   (d) 8t 2 − 8t + 48

Ques 44 (Case Based) - A polynomial q(t) with sum of zeroes as 1 and - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

part 2 - Question 44 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 44 A polynomial q(t) with sum of zeroes as 1 and the product as −6 is modelling Anu’s height in feet above the water at any time t( in seconds). Then q(t) is given by (a) t2 + t + 6 (b) t2 + t − 6 (c) −8t2 + 8t + 48 (d) 8t2 − 8t + 48 The quadratic polynomial is t2 − (Sum of roots)t + Product of roots Putting values 𝑡^2−(1)𝑡+(−6) 𝒕^𝟐−𝒕−𝟔 But, we can multiply any constant to this polynomial, And that polynomial would have the same zeroes Multiplying by −8 q(t) = −8 × (t2 − t − 6) q(t) = −8t2 + 8t + 48 So, the correct answer is (c)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo