if two zeros of the polynomial x cube minus 4 x square - 3 x + 12 are root 3 and minus root 3 find its third zero
pls ans this briefly
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Answer: 4
Step-by-step explanation:
given polynomial has 2 roots √3 and -√3.
it means it is a solution with (x+ √3 ) and (x-√3 )
by multiplying these roots
(x+ √3 )*(x-√3 )
=x²-3
by dividing x³ - 4x² -3x +12 by x²-3
we get (x-4) as quotient.
it means
x-4 =0
x=4
so third zero of polynomial is 4.
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