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

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01-07-2016
Mathematics

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

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caylus caylus · Answer 1 · 2016-07-01T18:46:08+02:00

caylus caylus

01-07-2016

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

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