check whether p(x) is a multiple of g(x) or not where p(x) =x³-5x²+4x-3. g(x) =x-2. wrong answer will be reported.
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I think you would be knowing the fact that if a number is factor of another number then it means it (factor) divides the number completly
i.e. the remainder is zero and if it is not a factor then remainder won't be zero.
It is same in case of a polynomial too.
If g(x) is not a factor of p(x) then it means remainder will not be zero.
When you'll divide x³-5x²+4x-3 by x -2 you will get -7 as remainder, which is not equal to zero.
Hence, g(x) is not a factor of p(x)
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