it two zeroes of the polynomial x⁴+x³-15x²-29x-6 and 2±(√5). Find other zeroes.
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Answer:
2 zeros
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Answered by
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Answer:
Step-by-step explanation:
Given two of roots are 2+ and 2-
Let other two roots be X,Y
Sum of roots of above equation=-b/a
+
+X+Y=-1/1
4+X+Y=-1
X+Y=-5
and also Product of roots=e/a
()*(
)*X*Y= -6
-1*X*Y=-6
X*Y=6 and X+Y=-5
X*(-5-X)=6
-5X-X^2=6
X^2+5X+6=0
X=-2 and X=-3
So Y=-2 and Y=-2
So other two roots are -2 and -3
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