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 May 29, 2023 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

(a) t
^{
2
}
+ t + 6 (b) t
^{
2
}
+ t − 6

(c) −8t
^{
2
}
+ 8t + 48 (d) 8t
^{
2
}
− 8t + 48

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

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)

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.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!