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

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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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.