polynomials

Asked by palaksophia | 5th Dec, 2009, 09:36: PM

Expert Answer:

Since f(x) is a cubic polynomial it will have 3 zeroes. Whats the 3 zero

You need that   to use the relation between the cofficients and the zeroes. otherwise use the following  

a-b, and a+b are zeroes of the polynomial f(x)=2x^3-6x^2+5x-7

then f(a-b) = 0 and f(a+b) = 0

f(a-b) = 2 (a-b)3  - 6 (a-b)2 + 5(a-b)-7

f(a+b) = 2 (a+b)3  - 6 (a+b)2 + 5(a+b)-7

Solve this to get a and b

Answered by  | 7th Dec, 2009, 10:16: AM

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