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.

Slide95.jpeg

Advertisement

Slide96.jpeg

Advertisement

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

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)

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.