CBSE Class 10 Answered
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 | 08 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 | 09 May, 2013, 09:27: AM
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