If a and b are the zeros of the quadratic polynomial f(x)=2x^2-5x+7, find a polynomial whose zeros are 2a+3b and 3a+2b.

+1 vote
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asked Jan 29, 2018 in Mathematics by sforrest072 (157,439 points) 60 409 933

If a and b are the zeros of the quadratic polynomial f(x)=2x2-5x+7, find a polynomial whose zeros are 2a+3b and 3a+2b.

1 Answer

+1 vote
answered Jan 29, 2018 by mdsamim (213,225 points) 5 10 15
selected Jan 29, 2018 by sforrest072
 
Best answer

Let S and P denote respectively the sum and product of the zeros of the required polynomial.

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