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)
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.
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