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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) t 2 + t − 2.   (b) t 2 + 2t − 1

(c) 24t 2 − 24t + 48.   (d) −24t 2 + 24t + 48.

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Transcript

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.