The quotient of (x5 – 3×3 – 3×2 – 10x + 15) and a polynomial is (x2 – 5). what is the polynomial?

Expert Answer

Thus p(x)= (x^5-3x^3-10x+15) *(x^2-5)

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X^7- 5x^5-3x^5+15x^3-10x^3+50x+15x^2-75

The values of x with the same power are group together and added.

=x^7-8x^5-5x^3+15x^2+50x-75, thus this equation is the polynomial. The polynomial has the largest degree, with the remainder, having the smallest degree.

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