Question

Rewrite 2x^4-9x^5+4x^2/x^3-5 in the form of q(x)+r(x)/b(x). What is q(X) ?

Answer 1

Hello,

(-9x^5+2x^4+4x²)|x^3-5
-(-9x^5+45x²)      | -9x² +2x
-------------------
2x^4-41x²
-(2x^4-10x)
----------------
-41x²+10x

So -9x^5+2x^4+4x²=(x^3-5)(-9x²+2x) -41x²+10x

q(x)= -9x²+2x