Whether the division of polynomial frac{3x^{4}-x+1}{x-5} using synthetic division method is directly possible or not.

Question

Whether the division of polynomial

\frac{3 x^{4} - x + 1}{x - 5}

using synthetic division method is directly possible or not.

Answer 1

Synthetic division method is used to divide the polynomial under the condition that the divisor is in the form of first-degree polynomial such as x — r, where r is any constant. Here, the divisor is x - 5 which is in the form of x - r.
Thus, the division of polynomial is possible directly using synthetic division.

Whether the division of polynomial frac{3x^{4}-x+1}{x-5} using synthetic division method is directly possible or not.

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