Answer:
\(x^3+2x-3\)
Step-by-step explanation:
the quotient of \((x^5 - 3x^3 - 3x^2 - 10x+15)\)and a polynomial is \((x^2 -5)\)
\(\frac{x^5 - 3x^3 - 3x^2 - 10x+15}{x^2-5}\)
WE use long division
\(x^3+2x-3\)
-------------------------------------------------
\((x^2-5)\) \(x^5 - 0x^4-3x^3 - 3x^2 - 10x+15\)
\(x^5 +0x^4 -5x^3\)
--------------------------------------------------(subtract)
\(2x^3 - 3x^2-10x\)
\(2x^3 + 0x^2 -10x\)
------------------------------------------------------(subtract)
\(-3x^2+0x+15\)
\(-3x^2+ 0x +15\)
-----------------------------------------------------(subtract)
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