Question 43 Rita’s height (in feet) above the water level is given by another polynomial p(t) with zeroes −1 and 2. Then p(t) is given by- (a) t2 + t − 2. (b) t2 + 2t − 1 (c) 24t2 − 24t + 48. (d) −24t2 + 24t + 48.
The required polynomial is
(t − (−1)) (t − 2)
= (t + 1) (t − 2)
= t (t − 2) + 1 (t − 2)
= t2 − 2t + t − 2
= t2 − t − 2
But, we can multiply any constant to this polynomial,
And that polynomial would have the same zeroes
Multiplying by −24
p(t) = −24 × (t2 − t − 2)
p(t) = −24t2 + 24t + 48
So, the correct answer is (d)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.