Please explain why. Thanks

Question :-

Is (x-2) is a factor of x³-3x²-x +7 –

Yes No ☑Explanation :-

We are given –

Polynomial function, P(x) = x³-3x²-x +7In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.Let's find value of x!

Now Put x = 2 into the polynomial –

Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of  x³-3x²-x +7.

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