If one root of x3−6x2+3x+10=0 is 2, then the remaining two roots are
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a
2, − 52
b
5, − 1
c
− 5,1
d
2, 52
answer is B.
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Detailed Solution
The given equation is x3−6x2+3x+10=0 Given that one root is 2Consider the coefficients of given equation And do synthetic division, we get21−631002−8−10 1−4−5 0 ⇒(x−2)(x2−4x−5)=0 ⇒(x−2)(x+1)(x−5)=0 ⇒x=2,−1,5 ∴ the remaining roots are 5, − 1