divide the polynominal 5x^4-3x^3+4x+5 by x-3
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divide the polynominal 5x^4-3x^3+4x+5 by x-3
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Answer:
Long division of polynomials is very similar to regular long division. It can be used to simplify a rational function N(x)D(x) for integration in Calculus, to find a slant asymptote in PreCalculus, and many other applications. It is done when the denominator polynomial function has a lower degree than the numerator polynomial function. The denominator can be a quadratic.
Ex. y=x2+12x−2
x+2 −−−−−−−−−−−−−−−−−−
x−2∣x2+0x+12
x2−2x−−−−−−−
2x+12
2x−4 −−−−−−−−
16
This means y=x2+12x−2=x+2+16x−2
The slant asymptote in the above example is y=x2