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# CBSE Class 10 Answered

Q if a and b are zeros of 2x^2-5x+7 find a polynomial whose zeros are 2a+3b and 3a+2b
Asked by Kumarashish6345 | 21 Dec, 2018, 06:29: PM
Expert Answer
This question is solved if given polynomial is 2x²-5x-7, other wise we are not getting real roots.

to get zeros of polynomial, we solve the given quadratic equation by factorisation

2x²-5x-7 = 0
2x²-7x+2x-7 = 0
x(2x-7)+(2x-7) = (2x-7)(x+1) = 0 ;  hence zeros are -1 and 7/2

let a = -1 and b = 7/2 ;  hence 2a+3b = 17/2  and 3a+2b = 4

hence required polynomial :-  (x-4)(x-17/2)   or (x-4)(2x-17) = 2x²-25x+68
Answered by Thiyagarajan K | 27 Dec, 2018, 10:42: AM

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