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Question

Given that x5 is a factor of polynomial x335x25x+155, find all zeroes of the polynomial.

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Solution

Divisor x5
Polynomial x335x25x+155
Quotient=x225x15
To find other zeroes , we will use common factor theorem
x235+5x15
x(x35)+5(x35)
(x+5)(x35)
To find zeroes , equals the factors to zero.
other zeroes =5,35

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