find th polynomial,if it's three zeroes are √3,-√3 and 3
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Answer:
3 is the polynomial
Step-by-step explanation:
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Answered by
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Answer:
Let a,ß and y be the zeroes.
a=3
B=-√3
y=√3
Sum of zeros = a+B+y=3+(-√3)+√3
=3-√3+√3
=3
Sum of the product of zeroes taken two
at a time
=aß+By+ay
=3(-√3)+(√3)(-√3+3(√3)
=-3√3-3+3√3
= -3
Product of all zeroes =aßy
=(3)(-√3)(√3)
=3(-3)
= -9
A cubic polynomial which has three zeroes is in the form of x³-(a+B+y)x² +(aB+By+ay)x-aßy
=x³-3x²+(-3)x-(-9)
=x³-3x²-3x+9
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