Question

Prove that x^3-5x+6 is factor of 2x^4-17x^3+49x^2-52x+2

Answer 1

this shows that x^3-5x+6 is not a factor of 2x^4-17x^3+49x^2-52x+2 as it is not completely divisible as the power of x is greater in the quotient than the reminder.
so, it can't be proved.
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