Give that x-√5 is a factor of the polynomial x³-3√5x²-5x+15√5 find all the zeros
Of the polynomial
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SINCE THE GIVEN POLYNOMIAL IS IN CUBIC FORM AND OF ITS ZEROS ARE GIVEN THEN DIVIDE THAT POLYNOMIAL BY THAT FACTOR .
Now we have a quadratic polynomial and the zeros are ( x+ root 5 ) ( x- 3 root 5) ( x - root 5 )
Here ,
x = - root 5 = alpha ( imaginary no. )
x = 3root 5 = beta
and. x = root 5 = gama.
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