CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

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

Last updated at Sept. 6, 2021 by Teachoo

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

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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CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

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.