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.

Ques 43 (Case Based) - Rita’s height (in feet) above the water level - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

part 2 - Question 43 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

Remove Ads

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)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo