obtain all zeroes of polynomial f(x)=2x4+x3-14x2-19x-6 , if two of its zero are -2 and -1.

Asked by Renoy Gladson | 8th May, 2013, 09:45: PM

Expert Answer:

First, given zeroes are -2 and -1

Thus factors = (x+2) and (x+1)

solve them, we get = x2 + 3x+2

Now divide f(x) by x2+3x+2

On dividing, q(x) = 2x2-5x-3

Now  split the middle term and you 'll get two values --> (2x+3) and (x-1)

(2x+3)---> x=-3/2

(x-1)----> x= 1

Thus, the four Zeroes are 1, -1, -2 and -3/2


Answered by  | 9th May, 2013, 09:27: AM

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