Question

find all the zeros of the polynomial x cube minus 4 x square - 3 x + 12 if two of its zeros are root 3 and minus root 3​

Answer 1

Answer:

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.

Step-by-step explanation: