Sam has sewn three square tablecloths of different sizes. He determines the length of the diagonal of each square tablecloth.
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If is a factor of the polynomial, it means that
is a root of the polynomial.
In fact, if a polynomial has a root
(i.e.
), then the polynomial is divisible by
In your case, you know that the polynomial is divisible by , so
is a solution.
Let's evaluate and set it to zero:
We can check the answer: if the polynomial becomes
And we're claiming that is a root of this polynomial: